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Finding the Fourth Proportional to 502,921.38, 694,010.39 and 285,144.72

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Solution

The fourth proportional to 502,921.38, 694,010.39 and 285,144.72 is: 393,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,921.38 : 694,010.39 = 285,144.72 : x
  2. Step 2: Convert to fraction form
    502,921.38/694,010.39 = 285,144.72/x
  3. Step 3: Cross multiply
    502,921.38x = 694,010.39 × 285,144.72
  4. Step 4: Simplify right side
    502,921.38x = 197,893,398,333.64
  5. Step 5: Solve for x
    x = 197,893,398,333.64/502,921.38
  6. Step 6: Final answer
    x = 393,487.74

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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.