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Finding the Fourth Proportional to 417,174.96, 625,391.32 and 150,876.28

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Solution

The fourth proportional to 417,174.96, 625,391.32 and 150,876.28 is: 226,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,174.96 : 625,391.32 = 150,876.28 : x
  2. Step 2: Convert to fraction form
    417,174.96/625,391.32 = 150,876.28/x
  3. Step 3: Cross multiply
    417,174.96x = 625,391.32 × 150,876.28
  4. Step 4: Simplify right side
    417,174.96x = 94,356,715,905.89
  5. Step 5: Solve for x
    x = 94,356,715,905.89/417,174.96
  6. Step 6: Final answer
    x = 226,180.20

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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.