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Finding the Fourth Proportional to 422,304.30, 582,780.15 and 231,320.88

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Solution

The fourth proportional to 422,304.30, 582,780.15 and 231,320.88 is: 319,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,304.30 : 582,780.15 = 231,320.88 : x
  2. Step 2: Convert to fraction form
    422,304.30/582,780.15 = 231,320.88/x
  3. Step 3: Cross multiply
    422,304.30x = 582,780.15 × 231,320.88
  4. Step 4: Simplify right side
    422,304.30x = 134,809,217,144.53
  5. Step 5: Solve for x
    x = 134,809,217,144.53/422,304.30
  6. Step 6: Final answer
    x = 319,222.93

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