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Finding the Fourth Proportional to 502,264.32, 693,306.72 and 332,553.12

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Solution

The fourth proportional to 502,264.32, 693,306.72 and 332,553.12 is: 459,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,264.32 : 693,306.72 = 332,553.12 : x
  2. Step 2: Convert to fraction form
    502,264.32/693,306.72 = 332,553.12/x
  3. Step 3: Cross multiply
    502,264.32x = 693,306.72 × 332,553.12
  4. Step 4: Simplify right side
    502,264.32x = 230,561,312,852.97
  5. Step 5: Solve for x
    x = 230,561,312,852.97/502,264.32
  6. Step 6: Final answer
    x = 459,043.78

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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.