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Finding the Fourth Proportional to 343,721.68, 474,229.62 and 200,380.24

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Solution

The fourth proportional to 343,721.68, 474,229.62 and 200,380.24 is: 276,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,721.68 : 474,229.62 = 200,380.24 : x
  2. Step 2: Convert to fraction form
    343,721.68/474,229.62 = 200,380.24/x
  3. Step 3: Cross multiply
    343,721.68x = 474,229.62 × 200,380.24
  4. Step 4: Simplify right side
    343,721.68x = 95,026,245,070.71
  5. Step 5: Solve for x
    x = 95,026,245,070.71/343,721.68
  6. Step 6: Final answer
    x = 276,462.76

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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.