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Finding the Fourth Proportional to 533,206.80, 731,908.62 and 471,424.05

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Solution

The fourth proportional to 533,206.80, 731,908.62 and 471,424.05 is: 647,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,206.80 : 731,908.62 = 471,424.05 : x
  2. Step 2: Convert to fraction form
    533,206.80/731,908.62 = 471,424.05/x
  3. Step 3: Cross multiply
    533,206.80x = 731,908.62 × 471,424.05
  4. Step 4: Simplify right side
    533,206.80x = 345,039,323,513.19
  5. Step 5: Solve for x
    x = 345,039,323,513.19/533,206.80
  6. Step 6: Final answer
    x = 647,102.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.