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Finding the Fourth Proportional to 381,932.50, 573,025.11 and 204,399.94

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Solution

The fourth proportional to 381,932.50, 573,025.11 and 204,399.94 is: 306,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,932.50 : 573,025.11 = 204,399.94 : x
  2. Step 2: Convert to fraction form
    381,932.50/573,025.11 = 204,399.94/x
  3. Step 3: Cross multiply
    381,932.50x = 573,025.11 × 204,399.94
  4. Step 4: Simplify right side
    381,932.50x = 117,126,298,102.49
  5. Step 5: Solve for x
    x = 117,126,298,102.49/381,932.50
  6. Step 6: Final answer
    x = 306,667.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.