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Finding the Fourth Proportional to 378,022.20, 567,033.30 and 307,163.40

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Solution

The fourth proportional to 378,022.20, 567,033.30 and 307,163.40 is: 460,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,022.20 : 567,033.30 = 307,163.40 : x
  2. Step 2: Convert to fraction form
    378,022.20/567,033.30 = 307,163.40/x
  3. Step 3: Cross multiply
    378,022.20x = 567,033.30 × 307,163.40
  4. Step 4: Simplify right side
    378,022.20x = 174,171,876,341.22
  5. Step 5: Solve for x
    x = 174,171,876,341.22/378,022.20
  6. Step 6: Final answer
    x = 460,745.10

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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.