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Finding the Fourth Proportional to 381,933.44, 573,250.24 and 204,640.64

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Solution

The fourth proportional to 381,933.44, 573,250.24 and 204,640.64 is: 307,148.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,933.44 : 573,250.24 = 204,640.64 : x
  2. Step 2: Convert to fraction form
    381,933.44/573,250.24 = 204,640.64/x
  3. Step 3: Cross multiply
    381,933.44x = 573,250.24 × 204,640.64
  4. Step 4: Simplify right side
    381,933.44x = 117,310,295,993.75
  5. Step 5: Solve for x
    x = 117,310,295,993.75/381,933.44
  6. Step 6: Final answer
    x = 307,148.53

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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.