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Finding the Fourth Proportional to 522,863.13, 721,565.49 and 293,434.49

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Solution

The fourth proportional to 522,863.13, 721,565.49 and 293,434.49 is: 404,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,863.13 : 721,565.49 = 293,434.49 : x
  2. Step 2: Convert to fraction form
    522,863.13/721,565.49 = 293,434.49/x
  3. Step 3: Cross multiply
    522,863.13x = 721,565.49 × 293,434.49
  4. Step 4: Simplify right side
    522,863.13x = 211,732,197,951.92
  5. Step 5: Solve for x
    x = 211,732,197,951.92/522,863.13
  6. Step 6: Final answer
    x = 404,947.65

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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.