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Finding the Fourth Proportional to 256,344.35, 384,560.26 and 78,847.43

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Solution

The fourth proportional to 256,344.35, 384,560.26 and 78,847.43 is: 118,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,344.35 : 384,560.26 = 78,847.43 : x
  2. Step 2: Convert to fraction form
    256,344.35/384,560.26 = 78,847.43/x
  3. Step 3: Cross multiply
    256,344.35x = 384,560.26 × 78,847.43
  4. Step 4: Simplify right side
    256,344.35x = 30,321,586,061.21
  5. Step 5: Solve for x
    x = 30,321,586,061.21/256,344.35
  6. Step 6: Final answer
    x = 118,284.59

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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.