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Finding the Fourth Proportional to 514,092.24, 709,447.14 and 287,737.74

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Solution

The fourth proportional to 514,092.24, 709,447.14 and 287,737.74 is: 397,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,092.24 : 709,447.14 = 287,737.74 : x
  2. Step 2: Convert to fraction form
    514,092.24/709,447.14 = 287,737.74/x
  3. Step 3: Cross multiply
    514,092.24x = 709,447.14 × 287,737.74
  4. Step 4: Simplify right side
    514,092.24x = 204,134,716,713.06
  5. Step 5: Solve for x
    x = 204,134,716,713.06/514,092.24
  6. Step 6: Final answer
    x = 397,078.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.