Mr Williams is planning a seventh grade field trip to a math museum. School policy requires a minimum of 2 adults as chaperones for every 9 students on the trip, and allows a food budget of $6 per person. Educational group pricing at the museum is $4.50 per student and $7.25 per adult. There is also a bus parking fee that is 4% of the total ticket price. There are 171 students in seventh grade. How much money does Mr. Williams need to budget for the museum tickets and parking?