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Finding the Fourth Proportional to 502,902.48, 694,006.90 and 273,459.90

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Solution

The fourth proportional to 502,902.48, 694,006.90 and 273,459.90 is: 377,375.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,902.48 : 694,006.90 = 273,459.90 : x
  2. Step 2: Convert to fraction form
    502,902.48/694,006.90 = 273,459.90/x
  3. Step 3: Cross multiply
    502,902.48x = 694,006.90 × 273,459.90
  4. Step 4: Simplify right side
    502,902.48x = 189,783,057,473.31
  5. Step 5: Solve for x
    x = 189,783,057,473.31/502,902.48
  6. Step 6: Final answer
    x = 377,375.47

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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.