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Finding the Fourth Proportional to 416,561, 625,031.90 and 226,737

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Solution

The fourth proportional to 416,561, 625,031.90 and 226,737 is: 340,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,561 : 625,031.90 = 226,737 : x
  2. Step 2: Convert to fraction form
    416,561/625,031.90 = 226,737/x
  3. Step 3: Cross multiply
    416,561x = 625,031.90 × 226,737
  4. Step 4: Simplify right side
    416,561x = 141,717,857,910.30
  5. Step 5: Solve for x
    x = 141,717,857,910.30/416,561
  6. Step 6: Final answer
    x = 340,209.14

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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.