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Finding the Fourth Proportional to 381,917.44, 573,226.24 and 204,624.64

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Solution

The fourth proportional to 381,917.44, 573,226.24 and 204,624.64 is: 307,124.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,917.44 : 573,226.24 = 204,624.64 : x
  2. Step 2: Convert to fraction form
    381,917.44/573,226.24 = 204,624.64/x
  3. Step 3: Cross multiply
    381,917.44x = 573,226.24 × 204,624.64
  4. Step 4: Simplify right side
    381,917.44x = 117,296,212,998.55
  5. Step 5: Solve for x
    x = 117,296,212,998.55/381,917.44
  6. Step 6: Final answer
    x = 307,124.53

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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.