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Finding the Fourth Proportional to 376,082.82, 519,007.80 and 206,321.94

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Solution

The fourth proportional to 376,082.82, 519,007.80 and 206,321.94 is: 284,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,082.82 : 519,007.80 = 206,321.94 : x
  2. Step 2: Convert to fraction form
    376,082.82/519,007.80 = 206,321.94/x
  3. Step 3: Cross multiply
    376,082.82x = 519,007.80 × 206,321.94
  4. Step 4: Simplify right side
    376,082.82x = 107,082,696,171.13
  5. Step 5: Solve for x
    x = 107,082,696,171.13/376,082.82
  6. Step 6: Final answer
    x = 284,731.69

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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.