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Finding the Fourth Proportional to 298,500.38, 447,906.10 and 132,249.50

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Solution

The fourth proportional to 298,500.38, 447,906.10 and 132,249.50 is: 198,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,500.38 : 447,906.10 = 132,249.50 : x
  2. Step 2: Convert to fraction form
    298,500.38/447,906.10 = 132,249.50/x
  3. Step 3: Cross multiply
    298,500.38x = 447,906.10 × 132,249.50
  4. Step 4: Simplify right side
    298,500.38x = 59,235,357,771.95
  5. Step 5: Solve for x
    x = 59,235,357,771.95/298,500.38
  6. Step 6: Final answer
    x = 198,443.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.