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Finding the Fourth Proportional to 422,310.20, 582,790.04 and 231,323

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Solution

The fourth proportional to 422,310.20, 582,790.04 and 231,323 is: 319,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,310.20 : 582,790.04 = 231,323 : x
  2. Step 2: Convert to fraction form
    422,310.20/582,790.04 = 231,323/x
  3. Step 3: Cross multiply
    422,310.20x = 582,790.04 × 231,323
  4. Step 4: Simplify right side
    422,310.20x = 134,812,740,422.92
  5. Step 5: Solve for x
    x = 134,812,740,422.92/422,310.20
  6. Step 6: Final answer
    x = 319,226.82

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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.