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Finding the Fourth Proportional to 491,819.40, 737,729.10 and 305,195.40

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Solution

The fourth proportional to 491,819.40, 737,729.10 and 305,195.40 is: 457,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,819.40 : 737,729.10 = 305,195.40 : x
  2. Step 2: Convert to fraction form
    491,819.40/737,729.10 = 305,195.40/x
  3. Step 3: Cross multiply
    491,819.40x = 737,729.10 × 305,195.40
  4. Step 4: Simplify right side
    491,819.40x = 225,151,527,766.14
  5. Step 5: Solve for x
    x = 225,151,527,766.14/491,819.40
  6. Step 6: Final answer
    x = 457,793.10

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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.