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Finding the Fourth Proportional to 297,132.74, 410,078.24 and 176,279.12

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Solution

The fourth proportional to 297,132.74, 410,078.24 and 176,279.12 is: 243,285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,132.74 : 410,078.24 = 176,279.12 : x
  2. Step 2: Convert to fraction form
    297,132.74/410,078.24 = 176,279.12/x
  3. Step 3: Cross multiply
    297,132.74x = 410,078.24 × 176,279.12
  4. Step 4: Simplify right side
    297,132.74x = 72,288,231,536.97
  5. Step 5: Solve for x
    x = 72,288,231,536.97/297,132.74
  6. Step 6: Final answer
    x = 243,285.99

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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.