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Finding the Fourth Proportional to 417,238.16, 625,213.56 and 281,771.60

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Solution

The fourth proportional to 417,238.16, 625,213.56 and 281,771.60 is: 422,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,238.16 : 625,213.56 = 281,771.60 : x
  2. Step 2: Convert to fraction form
    417,238.16/625,213.56 = 281,771.60/x
  3. Step 3: Cross multiply
    417,238.16x = 625,213.56 × 281,771.60
  4. Step 4: Simplify right side
    417,238.16x = 176,167,425,142.90
  5. Step 5: Solve for x
    x = 176,167,425,142.90/417,238.16
  6. Step 6: Final answer
    x = 422,222.71

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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.