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Finding the Fourth Proportional to 361,793.86, 499,272.87 and 198,454.12

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Solution

The fourth proportional to 361,793.86, 499,272.87 and 198,454.12 is: 273,865.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,793.86 : 499,272.87 = 198,454.12 : x
  2. Step 2: Convert to fraction form
    361,793.86/499,272.87 = 198,454.12/x
  3. Step 3: Cross multiply
    361,793.86x = 499,272.87 × 198,454.12
  4. Step 4: Simplify right side
    361,793.86x = 99,082,758,055.72
  5. Step 5: Solve for x
    x = 99,082,758,055.72/361,793.86
  6. Step 6: Final answer
    x = 273,865.23

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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.