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Finding the Fourth Proportional to 431,589.28, 647,383.92 and 182,273.44

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Solution

The fourth proportional to 431,589.28, 647,383.92 and 182,273.44 is: 273,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,589.28 : 647,383.92 = 182,273.44 : x
  2. Step 2: Convert to fraction form
    431,589.28/647,383.92 = 182,273.44/x
  3. Step 3: Cross multiply
    431,589.28x = 647,383.92 × 182,273.44
  4. Step 4: Simplify right side
    431,589.28x = 118,000,894,099.09
  5. Step 5: Solve for x
    x = 118,000,894,099.09/431,589.28
  6. Step 6: Final answer
    x = 273,410.16

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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.