When I was young I studied with a religious order whose members took vows of poverty, chastity and obedience. I was in high school at the time, though,, and we were not required to profess until college.
The vow of poverty refers more to individual ownership than to “living in poverty” as it is understood by society in general. A vow of poverty was a renunciation of ownership of, and therefore attachment to, physical things. Everything was technically owned in common by the Community. All needs, spiritual as well as physical, were provided for by the Order.