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Finding the Fourth Proportional to 416,910.48, 625,359.14 and 132,596.94

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Solution

The fourth proportional to 416,910.48, 625,359.14 and 132,596.94 is: 198,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,910.48 : 625,359.14 = 132,596.94 : x
  2. Step 2: Convert to fraction form
    416,910.48/625,359.14 = 132,596.94/x
  3. Step 3: Cross multiply
    416,910.48x = 625,359.14 × 132,596.94
  4. Step 4: Simplify right side
    416,910.48x = 82,920,708,365.03
  5. Step 5: Solve for x
    x = 82,920,708,365.03/416,910.48
  6. Step 6: Final answer
    x = 198,893.32

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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.