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Finding the Fourth Proportional to 363,934.80, 545,902.20 and 327,193.20

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Solution

The fourth proportional to 363,934.80, 545,902.20 and 327,193.20 is: 490,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,934.80 : 545,902.20 = 327,193.20 : x
  2. Step 2: Convert to fraction form
    363,934.80/545,902.20 = 327,193.20/x
  3. Step 3: Cross multiply
    363,934.80x = 545,902.20 × 327,193.20
  4. Step 4: Simplify right side
    363,934.80x = 178,615,487,705.04
  5. Step 5: Solve for x
    x = 178,615,487,705.04/363,934.80
  6. Step 6: Final answer
    x = 490,789.80

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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.