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Finding the Fourth Proportional to 264,342.24, 396,591.12 and 106,489.44

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Solution

The fourth proportional to 264,342.24, 396,591.12 and 106,489.44 is: 159,765.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,342.24 : 396,591.12 = 106,489.44 : x
  2. Step 2: Convert to fraction form
    264,342.24/396,591.12 = 106,489.44/x
  3. Step 3: Cross multiply
    264,342.24x = 396,591.12 × 106,489.44
  4. Step 4: Simplify right side
    264,342.24x = 42,232,766,277.77
  5. Step 5: Solve for x
    x = 42,232,766,277.77/264,342.24
  6. Step 6: Final answer
    x = 159,765.49

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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.