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Finding the Fourth Proportional to 422,773.20, 583,414.38 and 231,780.06

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Solution

The fourth proportional to 422,773.20, 583,414.38 and 231,780.06 is: 319,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,773.20 : 583,414.38 = 231,780.06 : x
  2. Step 2: Convert to fraction form
    422,773.20/583,414.38 = 231,780.06/x
  3. Step 3: Cross multiply
    422,773.20x = 583,414.38 × 231,780.06
  4. Step 4: Simplify right side
    422,773.20x = 135,223,820,001.26
  5. Step 5: Solve for x
    x = 135,223,820,001.26/422,773.20
  6. Step 6: Final answer
    x = 319,849.56

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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.