You have to improve opportunity.
For example, I grew up extremely poor, and went to a small school. The most my parents knew about college was that I was going to go to one. Now I had the intelligence to get into just about any school I wanted, but I had no idea what/where those schools were. I also was unaware of how scholarships worked, or that I could have afforded most schools because we were poor. So I didn't apply to the few dream schools I knew of (MIT, Harvard, and Yale were the only big schools I knew about).
I applied and was accepted to two state schools in my region and went to one of those. My partner is appalled at the lack of opportunities I had growing up. No amount of money at the time would have fixed the situation, only moving to an area with better opportunities for me would have.