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Finding the Fourth Proportional to 256,229.10, 384,343.65 and 252,729.90

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Solution

The fourth proportional to 256,229.10, 384,343.65 and 252,729.90 is: 379,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,229.10 : 384,343.65 = 252,729.90 : x
  2. Step 2: Convert to fraction form
    256,229.10/384,343.65 = 252,729.90/x
  3. Step 3: Cross multiply
    256,229.10x = 384,343.65 × 252,729.90
  4. Step 4: Simplify right side
    256,229.10x = 97,135,132,230.14
  5. Step 5: Solve for x
    x = 97,135,132,230.14/256,229.10
  6. Step 6: Final answer
    x = 379,094.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.