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Finding the Fourth Proportional to 502,432.40, 693,342.24 and 287,565.16

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Solution

The fourth proportional to 502,432.40, 693,342.24 and 287,565.16 is: 396,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,432.40 : 693,342.24 = 287,565.16 : x
  2. Step 2: Convert to fraction form
    502,432.40/693,342.24 = 287,565.16/x
  3. Step 3: Cross multiply
    502,432.40x = 693,342.24 × 287,565.16
  4. Step 4: Simplify right side
    502,432.40x = 199,381,072,180.36
  5. Step 5: Solve for x
    x = 199,381,072,180.36/502,432.40
  6. Step 6: Final answer
    x = 396,831.64

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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.