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Finding the Fourth Proportional to 256,420.40, 384,112.20 and 172,439.60

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Solution

The fourth proportional to 256,420.40, 384,112.20 and 172,439.60 is: 258,310.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,420.40 : 384,112.20 = 172,439.60 : x
  2. Step 2: Convert to fraction form
    256,420.40/384,112.20 = 172,439.60/x
  3. Step 3: Cross multiply
    256,420.40x = 384,112.20 × 172,439.60
  4. Step 4: Simplify right side
    256,420.40x = 66,236,154,123.12
  5. Step 5: Solve for x
    x = 66,236,154,123.12/256,420.40
  6. Step 6: Final answer
    x = 258,310.78

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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.