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Finding the Fourth Proportional to 316,965.53, 475,470.17 and 92,327.83

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Solution

The fourth proportional to 316,965.53, 475,470.17 and 92,327.83 is: 138,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,965.53 : 475,470.17 = 92,327.83 : x
  2. Step 2: Convert to fraction form
    316,965.53/475,470.17 = 92,327.83/x
  3. Step 3: Cross multiply
    316,965.53x = 475,470.17 × 92,327.83
  4. Step 4: Simplify right side
    316,965.53x = 43,899,129,025.83
  5. Step 5: Solve for x
    x = 43,899,129,025.83/316,965.53
  6. Step 6: Final answer
    x = 138,498.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.