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Finding the Fourth Proportional to 381,844.80, 573,350.40 and 293,198.40

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Solution

The fourth proportional to 381,844.80, 573,350.40 and 293,198.40 is: 440,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,844.80 : 573,350.40 = 293,198.40 : x
  2. Step 2: Convert to fraction form
    381,844.80/573,350.40 = 293,198.40/x
  3. Step 3: Cross multiply
    381,844.80x = 573,350.40 × 293,198.40
  4. Step 4: Simplify right side
    381,844.80x = 168,105,419,919.36
  5. Step 5: Solve for x
    x = 168,105,419,919.36/381,844.80
  6. Step 6: Final answer
    x = 440,245.41

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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.