In my opinion education can take many forms, modelling being the earliest and arguably one of the best- I watch you throwing a spear and killing your food, you allow me to follow to see how you do it, I am receiving education- I now want to share my shelter with you- economy and so justice must come third.
I see these as tightly intertwined, so don't think that we can artificially create a hierarchical sequence. I understand that, within a given socio-economic framework, and at a particular point in that history, there may be a need for justice first, then economy followed by education. However, in an established socio-economic milieu (say, the US), we see that justice cannot prevail without education, and education is tightly linked to economical / political factors. For example, there is an attempt to underfund or defund public education in the US, in order to turn public education over to for profit (economics-driven) enterprises. We've seen the effect of poorly educated law-makers whose laws are geared to create injustices (in my state of North Carolina, House Bill 2 which discriminates against certain subsets of society based on gender identification). So, without good education, poorly educated people in positions of power create unjust conditions, which further affect the economic well-being of the society.
Complicated! But true. It is likely a very different scenario in, say, the DRC where there could easily be a hierarchical, sequential argument to seek justice first, then build more of an economic base alongside an educational structure.
I would opt for all three integrated instead of hierarchical as you need an educated workforce to grow the economy in a just way via your laws and policies.
In many cultures the approach to education is transactional, so we cannot have it, formerly without paying for it and that suggests Economy first but then there is a knowledge of value which has to be present to set the transactional value of the education which suggests Education first. We cannot have Justice first because it requires formal education. Justice in many cultures is also transactional especially when sentencing: If C for Crimes is committed then P for punishment is the transactional process. In this instance Education provides a knowledge base for deciding that Justice should be served and that Justice will be served fairly to the value of P. In the example of Stephen Mahaly above, whilst we wish it was different, the formal education of the law makers does not seem to be in question so much as the personal values they hold and agendas they push.
I think that Economy is a more modern construct and in the utopian society Neither Education nor Justice would be influenced by Economy so they must live in semi isolation. Justice and economy are transaction driven, education need not be. This is not my area of expertise and I look forward to reading and learning more.