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Finding the Fourth Proportional to 369,849.38, 510,387.17 and 206,508.42

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Solution

The fourth proportional to 369,849.38, 510,387.17 and 206,508.42 is: 284,978.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,849.38 : 510,387.17 = 206,508.42 : x
  2. Step 2: Convert to fraction form
    369,849.38/510,387.17 = 206,508.42/x
  3. Step 3: Cross multiply
    369,849.38x = 510,387.17 × 206,508.42
  4. Step 4: Simplify right side
    369,849.38x = 105,399,248,064.97
  5. Step 5: Solve for x
    x = 105,399,248,064.97/369,849.38
  6. Step 6: Final answer
    x = 284,978.84

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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.