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Finding the Fourth Proportional to 327,441.96, 451,860.12 and 198,456.75

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Solution

The fourth proportional to 327,441.96, 451,860.12 and 198,456.75 is: 273,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,441.96 : 451,860.12 = 198,456.75 : x
  2. Step 2: Convert to fraction form
    327,441.96/451,860.12 = 198,456.75/x
  3. Step 3: Cross multiply
    327,441.96x = 451,860.12 × 198,456.75
  4. Step 4: Simplify right side
    327,441.96x = 89,674,690,869.81
  5. Step 5: Solve for x
    x = 89,674,690,869.81/327,441.96
  6. Step 6: Final answer
    x = 273,864.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.