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Finding the Fourth Proportional to 376,446.48, 519,497.16 and 206,691.60

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Solution

The fourth proportional to 376,446.48, 519,497.16 and 206,691.60 is: 285,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,446.48 : 519,497.16 = 206,691.60 : x
  2. Step 2: Convert to fraction form
    376,446.48/519,497.16 = 206,691.60/x
  3. Step 3: Cross multiply
    376,446.48x = 519,497.16 × 206,691.60
  4. Step 4: Simplify right side
    376,446.48x = 107,375,699,195.86
  5. Step 5: Solve for x
    x = 107,375,699,195.86/376,446.48
  6. Step 6: Final answer
    x = 285,234.97

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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.