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Finding the Fourth Proportional to 905,414.76, 1,249,471.98 and 497,542.92

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Solution

The fourth proportional to 905,414.76, 1,249,471.98 and 497,542.92 is: 686,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,414.76 : 1,249,471.98 = 497,542.92 : x
  2. Step 2: Convert to fraction form
    905,414.76/1,249,471.98 = 497,542.92/x
  3. Step 3: Cross multiply
    905,414.76x = 1,249,471.98 × 497,542.92
  4. Step 4: Simplify right side
    905,414.76x = 621,665,937,387.38
  5. Step 5: Solve for x
    x = 621,665,937,387.38/905,414.76
  6. Step 6: Final answer
    x = 686,609.02

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Why These Related Problems?

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