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Finding the Fourth Proportional to 422,882.47, 583,585.82 and 231,884.47

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Solution

The fourth proportional to 422,882.47, 583,585.82 and 231,884.47 is: 320,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,882.47 : 583,585.82 = 231,884.47 : x
  2. Step 2: Convert to fraction form
    422,882.47/583,585.82 = 231,884.47/x
  3. Step 3: Cross multiply
    422,882.47x = 583,585.82 × 231,884.47
  4. Step 4: Simplify right side
    422,882.47x = 135,324,487,410.79
  5. Step 5: Solve for x
    x = 135,324,487,410.79/422,882.47
  6. Step 6: Final answer
    x = 320,004.96

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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.