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Finding the Fourth Proportional to 422,343.85, 582,834.63 and 231,364.09

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Solution

The fourth proportional to 422,343.85, 582,834.63 and 231,364.09 is: 319,282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,343.85 : 582,834.63 = 231,364.09 : x
  2. Step 2: Convert to fraction form
    422,343.85/582,834.63 = 231,364.09/x
  3. Step 3: Cross multiply
    422,343.85x = 582,834.63 × 231,364.09
  4. Step 4: Simplify right side
    422,343.85x = 134,847,003,790.44
  5. Step 5: Solve for x
    x = 134,847,003,790.44/422,343.85
  6. Step 6: Final answer
    x = 319,282.51

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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.