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Finding the Fourth Proportional to 327,110.40, 490,665.60 and 271,123.20

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Solution

The fourth proportional to 327,110.40, 490,665.60 and 271,123.20 is: 406,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,110.40 : 490,665.60 = 271,123.20 : x
  2. Step 2: Convert to fraction form
    327,110.40/490,665.60 = 271,123.20/x
  3. Step 3: Cross multiply
    327,110.40x = 490,665.60 × 271,123.20
  4. Step 4: Simplify right side
    327,110.40x = 133,030,827,601.92
  5. Step 5: Solve for x
    x = 133,030,827,601.92/327,110.40
  6. Step 6: Final answer
    x = 406,684.80

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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.