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Finding the Fourth Proportional to 381,927.44, 573,241.24 and 204,634.64

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Solution

The fourth proportional to 381,927.44, 573,241.24 and 204,634.64 is: 307,139.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,927.44 : 573,241.24 = 204,634.64 : x
  2. Step 2: Convert to fraction form
    381,927.44/573,241.24 = 204,634.64/x
  3. Step 3: Cross multiply
    381,927.44x = 573,241.24 × 204,634.64
  4. Step 4: Simplify right side
    381,927.44x = 117,305,014,780.55
  5. Step 5: Solve for x
    x = 117,305,014,780.55/381,927.44
  6. Step 6: Final answer
    x = 307,139.53

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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.