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Finding the Fourth Proportional to 422,344.52, 582,835.60 and 231,364.80

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Solution

The fourth proportional to 422,344.52, 582,835.60 and 231,364.80 is: 319,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,344.52 : 582,835.60 = 231,364.80 : x
  2. Step 2: Convert to fraction form
    422,344.52/582,835.60 = 231,364.80/x
  3. Step 3: Cross multiply
    422,344.52x = 582,835.60 × 231,364.80
  4. Step 4: Simplify right side
    422,344.52x = 134,847,642,026.88
  5. Step 5: Solve for x
    x = 134,847,642,026.88/422,344.52
  6. Step 6: Final answer
    x = 319,283.51

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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.