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Finding the Fourth Proportional to 416,914.50, 625,365.14 and 132,600.95

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Solution

The fourth proportional to 416,914.50, 625,365.14 and 132,600.95 is: 198,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,914.50 : 625,365.14 = 132,600.95 : x
  2. Step 2: Convert to fraction form
    416,914.50/625,365.14 = 132,600.95/x
  3. Step 3: Cross multiply
    416,914.50x = 625,365.14 × 132,600.95
  4. Step 4: Simplify right side
    416,914.50x = 82,924,007,871.05
  5. Step 5: Solve for x
    x = 82,924,007,871.05/416,914.50
  6. Step 6: Final answer
    x = 198,899.31

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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.