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Finding the Fourth Proportional to 397,709.38, 548,839.02 and 218,861.38

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Solution

The fourth proportional to 397,709.38, 548,839.02 and 218,861.38 is: 302,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,709.38 : 548,839.02 = 218,861.38 : x
  2. Step 2: Convert to fraction form
    397,709.38/548,839.02 = 218,861.38/x
  3. Step 3: Cross multiply
    397,709.38x = 548,839.02 × 218,861.38
  4. Step 4: Simplify right side
    397,709.38x = 120,119,665,315.05
  5. Step 5: Solve for x
    x = 120,119,665,315.05/397,709.38
  6. Step 6: Final answer
    x = 302,028.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.