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Finding the Fourth Proportional to 327,442.32, 491,245.20 and 114,213.30

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Solution

The fourth proportional to 327,442.32, 491,245.20 and 114,213.30 is: 171,348.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,442.32 : 491,245.20 = 114,213.30 : x
  2. Step 2: Convert to fraction form
    327,442.32/491,245.20 = 114,213.30/x
  3. Step 3: Cross multiply
    327,442.32x = 491,245.20 × 114,213.30
  4. Step 4: Simplify right side
    327,442.32x = 56,106,735,401.16
  5. Step 5: Solve for x
    x = 56,106,735,401.16/327,442.32
  6. Step 6: Final answer
    x = 171,348.45

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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.