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Finding the Fourth Proportional to 417,195.46, 625,819.62 and 161,150.16

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Solution

The fourth proportional to 417,195.46, 625,819.62 and 161,150.16 is: 241,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,195.46 : 625,819.62 = 161,150.16 : x
  2. Step 2: Convert to fraction form
    417,195.46/625,819.62 = 161,150.16/x
  3. Step 3: Cross multiply
    417,195.46x = 625,819.62 × 161,150.16
  4. Step 4: Simplify right side
    417,195.46x = 100,850,930,418.57
  5. Step 5: Solve for x
    x = 100,850,930,418.57/417,195.46
  6. Step 6: Final answer
    x = 241,735.44

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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.