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Finding the Fourth Proportional to 514,453.68, 709,906.68 and 288,068.40

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Solution

The fourth proportional to 514,453.68, 709,906.68 and 288,068.40 is: 397,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,453.68 : 709,906.68 = 288,068.40 : x
  2. Step 2: Convert to fraction form
    514,453.68/709,906.68 = 288,068.40/x
  3. Step 3: Cross multiply
    514,453.68x = 709,906.68 × 288,068.40
  4. Step 4: Simplify right side
    514,453.68x = 204,501,681,456.91
  5. Step 5: Solve for x
    x = 204,501,681,456.91/514,453.68
  6. Step 6: Final answer
    x = 397,512.33

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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.