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Finding the Fourth Proportional to 416,806.34, 625,262.49 and 132,395.42

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Solution

The fourth proportional to 416,806.34, 625,262.49 and 132,395.42 is: 198,609.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,806.34 : 625,262.49 = 132,395.42 : x
  2. Step 2: Convert to fraction form
    416,806.34/625,262.49 = 132,395.42/x
  3. Step 3: Cross multiply
    416,806.34x = 625,262.49 × 132,395.42
  4. Step 4: Simplify right side
    416,806.34x = 82,781,889,973.80
  5. Step 5: Solve for x
    x = 82,781,889,973.80/416,806.34
  6. Step 6: Final answer
    x = 198,609.96

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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.