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Finding the Fourth Proportional to 296,755.38, 409,709.34 and 206,082.36

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Solution

The fourth proportional to 296,755.38, 409,709.34 and 206,082.36 is: 284,523.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,755.38 : 409,709.34 = 206,082.36 : x
  2. Step 2: Convert to fraction form
    296,755.38/409,709.34 = 206,082.36/x
  3. Step 3: Cross multiply
    296,755.38x = 409,709.34 × 206,082.36
  4. Step 4: Simplify right side
    296,755.38x = 84,433,867,701.24
  5. Step 5: Solve for x
    x = 84,433,867,701.24/296,755.38
  6. Step 6: Final answer
    x = 284,523.46

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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.