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Finding the Fourth Proportional to 417,175.50, 625,556.21 and 132,829

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Solution

The fourth proportional to 417,175.50, 625,556.21 and 132,829 is: 199,177.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,175.50 : 625,556.21 = 132,829 : x
  2. Step 2: Convert to fraction form
    417,175.50/625,556.21 = 132,829/x
  3. Step 3: Cross multiply
    417,175.50x = 625,556.21 × 132,829
  4. Step 4: Simplify right side
    417,175.50x = 83,092,005,818.09
  5. Step 5: Solve for x
    x = 83,092,005,818.09/417,175.50
  6. Step 6: Final answer
    x = 199,177.58

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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.