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Finding the Fourth Proportional to 416,906.48, 625,353.14 and 132,592.94

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Solution

The fourth proportional to 416,906.48, 625,353.14 and 132,592.94 is: 198,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,906.48 : 625,353.14 = 132,592.94 : x
  2. Step 2: Convert to fraction form
    416,906.48/625,353.14 = 132,592.94/x
  3. Step 3: Cross multiply
    416,906.48x = 625,353.14 × 132,592.94
  4. Step 4: Simplify right side
    416,906.48x = 82,917,411,370.83
  5. Step 5: Solve for x
    x = 82,917,411,370.83/416,906.48
  6. Step 6: Final answer
    x = 198,887.32

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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.