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Finding the Fourth Proportional to 384,214.70, 576,322.05 and 378,309.80

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Solution

The fourth proportional to 384,214.70, 576,322.05 and 378,309.80 is: 567,464.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,214.70 : 576,322.05 = 378,309.80 : x
  2. Step 2: Convert to fraction form
    384,214.70/576,322.05 = 378,309.80/x
  3. Step 3: Cross multiply
    384,214.70x = 576,322.05 × 378,309.80
  4. Step 4: Simplify right side
    384,214.70x = 218,028,279,471.09
  5. Step 5: Solve for x
    x = 218,028,279,471.09/384,214.70
  6. Step 6: Final answer
    x = 567,464.70

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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.