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Finding the Fourth Proportional to 398,251.14, 597,376.71 and 231,922.50

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Solution

The fourth proportional to 398,251.14, 597,376.71 and 231,922.50 is: 347,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,251.14 : 597,376.71 = 231,922.50 : x
  2. Step 2: Convert to fraction form
    398,251.14/597,376.71 = 231,922.50/x
  3. Step 3: Cross multiply
    398,251.14x = 597,376.71 × 231,922.50
  4. Step 4: Simplify right side
    398,251.14x = 138,545,100,024.98
  5. Step 5: Solve for x
    x = 138,545,100,024.98/398,251.14
  6. Step 6: Final answer
    x = 347,883.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.