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Finding the Fourth Proportional to 384,214.20, 576,321.30 and 378,309.30

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Solution

The fourth proportional to 384,214.20, 576,321.30 and 378,309.30 is: 567,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,214.20 : 576,321.30 = 378,309.30 : x
  2. Step 2: Convert to fraction form
    384,214.20/576,321.30 = 378,309.30/x
  3. Step 3: Cross multiply
    384,214.20x = 576,321.30 × 378,309.30
  4. Step 4: Simplify right side
    384,214.20x = 218,027,707,578.09
  5. Step 5: Solve for x
    x = 218,027,707,578.09/384,214.20
  6. Step 6: Final answer
    x = 567,463.95

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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.