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Finding the Fourth Proportional to 538,446.20, 806,978.10 and 327,860.60

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Solution

The fourth proportional to 538,446.20, 806,978.10 and 327,860.60 is: 491,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,446.20 : 806,978.10 = 327,860.60 : x
  2. Step 2: Convert to fraction form
    538,446.20/806,978.10 = 327,860.60/x
  3. Step 3: Cross multiply
    538,446.20x = 806,978.10 × 327,860.60
  4. Step 4: Simplify right side
    538,446.20x = 264,576,324,052.86
  5. Step 5: Solve for x
    x = 264,576,324,052.86/538,446.20
  6. Step 6: Final answer
    x = 491,370.03

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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.