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Finding the Fourth Proportional to 312,651.20, 431,456.82 and 176,729.16

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Solution

The fourth proportional to 312,651.20, 431,456.82 and 176,729.16 is: 243,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,651.20 : 431,456.82 = 176,729.16 : x
  2. Step 2: Convert to fraction form
    312,651.20/431,456.82 = 176,729.16/x
  3. Step 3: Cross multiply
    312,651.20x = 431,456.82 × 176,729.16
  4. Step 4: Simplify right side
    312,651.20x = 76,251,001,374.87
  5. Step 5: Solve for x
    x = 76,251,001,374.87/312,651.20
  6. Step 6: Final answer
    x = 243,885.20

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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.