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Finding the Fourth Proportional to 538,230.20, 806,654.10 and 327,644.60

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Solution

The fourth proportional to 538,230.20, 806,654.10 and 327,644.60 is: 491,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,230.20 : 806,654.10 = 327,644.60 : x
  2. Step 2: Convert to fraction form
    538,230.20/806,654.10 = 327,644.60/x
  3. Step 3: Cross multiply
    538,230.20x = 806,654.10 × 327,644.60
  4. Step 4: Simplify right side
    538,230.20x = 264,295,859,932.86
  5. Step 5: Solve for x
    x = 264,295,859,932.86/538,230.20
  6. Step 6: Final answer
    x = 491,046.14

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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.