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Finding the Fourth Proportional to 422,787.20, 583,433.70 and 231,794.06

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Solution

The fourth proportional to 422,787.20, 583,433.70 and 231,794.06 is: 319,868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,787.20 : 583,433.70 = 231,794.06 : x
  2. Step 2: Convert to fraction form
    422,787.20/583,433.70 = 231,794.06/x
  3. Step 3: Cross multiply
    422,787.20x = 583,433.70 × 231,794.06
  4. Step 4: Simplify right side
    422,787.20x = 135,236,466,063.82
  5. Step 5: Solve for x
    x = 135,236,466,063.82/422,787.20
  6. Step 6: Final answer
    x = 319,868.88

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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.