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Finding the Fourth Proportional to 574,471.17, 862,100.37 and 200,494.17

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Solution

The fourth proportional to 574,471.17, 862,100.37 and 200,494.17 is: 300,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,471.17 : 862,100.37 = 200,494.17 : x
  2. Step 2: Convert to fraction form
    574,471.17/862,100.37 = 200,494.17/x
  3. Step 3: Cross multiply
    574,471.17x = 862,100.37 × 200,494.17
  4. Step 4: Simplify right side
    574,471.17x = 172,846,098,139.84
  5. Step 5: Solve for x
    x = 172,846,098,139.84/574,471.17
  6. Step 6: Final answer
    x = 300,878.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.