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Finding the Fourth Proportional to 417,174.72, 625,390.94 and 150,876.02

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Solution

The fourth proportional to 417,174.72, 625,390.94 and 150,876.02 is: 226,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,174.72 : 625,390.94 = 150,876.02 : x
  2. Step 2: Convert to fraction form
    417,174.72/625,390.94 = 150,876.02/x
  3. Step 3: Cross multiply
    417,174.72x = 625,390.94 × 150,876.02
  4. Step 4: Simplify right side
    417,174.72x = 94,356,492,089.92
  5. Step 5: Solve for x
    x = 94,356,492,089.92/417,174.72
  6. Step 6: Final answer
    x = 226,179.79

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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.