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Finding the Fourth Proportional to 373,847.46, 515,918.34 and 204,082.80

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Solution

The fourth proportional to 373,847.46, 515,918.34 and 204,082.80 is: 281,639.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,847.46 : 515,918.34 = 204,082.80 : x
  2. Step 2: Convert to fraction form
    373,847.46/515,918.34 = 204,082.80/x
  3. Step 3: Cross multiply
    373,847.46x = 515,918.34 × 204,082.80
  4. Step 4: Simplify right side
    373,847.46x = 105,290,059,398.55
  5. Step 5: Solve for x
    x = 105,290,059,398.55/373,847.46
  6. Step 6: Final answer
    x = 281,639.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.