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Finding the Fourth Proportional to 385,122.60, 576,906.30 and 218,716.20

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Solution

The fourth proportional to 385,122.60, 576,906.30 and 218,716.20 is: 327,632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,122.60 : 576,906.30 = 218,716.20 : x
  2. Step 2: Convert to fraction form
    385,122.60/576,906.30 = 218,716.20/x
  3. Step 3: Cross multiply
    385,122.60x = 576,906.30 × 218,716.20
  4. Step 4: Simplify right side
    385,122.60x = 126,178,753,692.06
  5. Step 5: Solve for x
    x = 126,178,753,692.06/385,122.60
  6. Step 6: Final answer
    x = 327,632.69

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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.