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Finding the Fourth Proportional to 416,952.76, 625,439.38 and 117,431.31

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Solution

The fourth proportional to 416,952.76, 625,439.38 and 117,431.31 is: 176,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,952.76 : 625,439.38 = 117,431.31 : x
  2. Step 2: Convert to fraction form
    416,952.76/625,439.38 = 117,431.31/x
  3. Step 3: Cross multiply
    416,952.76x = 625,439.38 × 117,431.31
  4. Step 4: Simplify right side
    416,952.76x = 73,446,168,211.17
  5. Step 5: Solve for x
    x = 73,446,168,211.17/416,952.76
  6. Step 6: Final answer
    x = 176,149.85

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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.