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Finding the Fourth Proportional to 378,420.32, 522,217.22 and 206,341.23

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Solution

The fourth proportional to 378,420.32, 522,217.22 and 206,341.23 is: 284,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,420.32 : 522,217.22 = 206,341.23 : x
  2. Step 2: Convert to fraction form
    378,420.32/522,217.22 = 206,341.23/x
  3. Step 3: Cross multiply
    378,420.32x = 522,217.22 × 206,341.23
  4. Step 4: Simplify right side
    378,420.32x = 107,754,942,470.27
  5. Step 5: Solve for x
    x = 107,754,942,470.27/378,420.32
  6. Step 6: Final answer
    x = 284,749.36

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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.