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Finding the Fourth Proportional to 431,732.52, 647,206.74 and 151,096.68

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Solution

The fourth proportional to 431,732.52, 647,206.74 and 151,096.68 is: 226,507.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,732.52 : 647,206.74 = 151,096.68 : x
  2. Step 2: Convert to fraction form
    431,732.52/647,206.74 = 151,096.68/x
  3. Step 3: Cross multiply
    431,732.52x = 647,206.74 × 151,096.68
  4. Step 4: Simplify right side
    431,732.52x = 97,790,789,687.62
  5. Step 5: Solve for x
    x = 97,790,789,687.62/431,732.52
  6. Step 6: Final answer
    x = 226,507.81

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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.