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Finding the Fourth Proportional to 265,214.80, 397,822.20 and 202,229.20

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Solution

The fourth proportional to 265,214.80, 397,822.20 and 202,229.20 is: 303,343.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,214.80 : 397,822.20 = 202,229.20 : x
  2. Step 2: Convert to fraction form
    265,214.80/397,822.20 = 202,229.20/x
  3. Step 3: Cross multiply
    265,214.80x = 397,822.20 × 202,229.20
  4. Step 4: Simplify right side
    265,214.80x = 80,451,265,248.24
  5. Step 5: Solve for x
    x = 80,451,265,248.24/265,214.80
  6. Step 6: Final answer
    x = 303,343.80

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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.