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Finding the Fourth Proportional to 417,151.80, 625,353.48 and 150,849.72

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Solution

The fourth proportional to 417,151.80, 625,353.48 and 150,849.72 is: 226,139.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,151.80 : 625,353.48 = 150,849.72 : x
  2. Step 2: Convert to fraction form
    417,151.80/625,353.48 = 150,849.72/x
  3. Step 3: Cross multiply
    417,151.80x = 625,353.48 × 150,849.72
  4. Step 4: Simplify right side
    417,151.80x = 94,334,397,359.03
  5. Step 5: Solve for x
    x = 94,334,397,359.03/417,151.80
  6. Step 6: Final answer
    x = 226,139.26

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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.