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Finding the Fourth Proportional to 378,642.38, 522,433.26 and 231,429.96

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Solution

The fourth proportional to 378,642.38, 522,433.26 and 231,429.96 is: 319,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,642.38 : 522,433.26 = 231,429.96 : x
  2. Step 2: Convert to fraction form
    378,642.38/522,433.26 = 231,429.96/x
  3. Step 3: Cross multiply
    378,642.38x = 522,433.26 × 231,429.96
  4. Step 4: Simplify right side
    378,642.38x = 120,906,708,464.47
  5. Step 5: Solve for x
    x = 120,906,708,464.47/378,642.38
  6. Step 6: Final answer
    x = 319,316.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.