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Finding the Fourth Proportional to 376,149.96, 519,082.29 and 206,383.95

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Solution

The fourth proportional to 376,149.96, 519,082.29 and 206,383.95 is: 284,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,149.96 : 519,082.29 = 206,383.95 : x
  2. Step 2: Convert to fraction form
    376,149.96/519,082.29 = 206,383.95/x
  3. Step 3: Cross multiply
    376,149.96x = 519,082.29 × 206,383.95
  4. Step 4: Simplify right side
    376,149.96x = 107,130,253,385.25
  5. Step 5: Solve for x
    x = 107,130,253,385.25/376,149.96
  6. Step 6: Final answer
    x = 284,807.30

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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.