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Finding the Fourth Proportional to 327,353.85, 491,028.75 and 84,194.01

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Solution

The fourth proportional to 327,353.85, 491,028.75 and 84,194.01 is: 126,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,353.85 : 491,028.75 = 84,194.01 : x
  2. Step 2: Convert to fraction form
    327,353.85/491,028.75 = 84,194.01/x
  3. Step 3: Cross multiply
    327,353.85x = 491,028.75 × 84,194.01
  4. Step 4: Simplify right side
    327,353.85x = 41,341,679,487.79
  5. Step 5: Solve for x
    x = 41,341,679,487.79/327,353.85
  6. Step 6: Final answer
    x = 126,290.49

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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.