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Finding the Fourth Proportional to 417,223.62, 625,558.91 and 150,949.49

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Solution

The fourth proportional to 417,223.62, 625,558.91 and 150,949.49 is: 226,324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,223.62 : 625,558.91 = 150,949.49 : x
  2. Step 2: Convert to fraction form
    417,223.62/625,558.91 = 150,949.49/x
  3. Step 3: Cross multiply
    417,223.62x = 625,558.91 × 150,949.49
  4. Step 4: Simplify right side
    417,223.62x = 94,427,794,546.91
  5. Step 5: Solve for x
    x = 94,427,794,546.91/417,223.62
  6. Step 6: Final answer
    x = 226,324.18

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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.