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Finding the Fourth Proportional to 422,281.20, 582,750 and 231,294

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Solution

The fourth proportional to 422,281.20, 582,750 and 231,294 is: 319,186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,281.20 : 582,750 = 231,294 : x
  2. Step 2: Convert to fraction form
    422,281.20/582,750 = 231,294/x
  3. Step 3: Cross multiply
    422,281.20x = 582,750 × 231,294
  4. Step 4: Simplify right side
    422,281.20x = 134,786,578,500
  5. Step 5: Solve for x
    x = 134,786,578,500/422,281.20
  6. Step 6: Final answer
    x = 319,186.78

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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.