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Finding the Fourth Proportional to 256,422.40, 384,115.20 and 172,441.60

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Solution

The fourth proportional to 256,422.40, 384,115.20 and 172,441.60 is: 258,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,422.40 : 384,115.20 = 172,441.60 : x
  2. Step 2: Convert to fraction form
    256,422.40/384,115.20 = 172,441.60/x
  3. Step 3: Cross multiply
    256,422.40x = 384,115.20 × 172,441.60
  4. Step 4: Simplify right side
    256,422.40x = 66,237,439,672.32
  5. Step 5: Solve for x
    x = 66,237,439,672.32/256,422.40
  6. Step 6: Final answer
    x = 258,313.78

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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.