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Finding the Fourth Proportional to 376,504.50, 519,579.86 and 206,742.27

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Solution

The fourth proportional to 376,504.50, 519,579.86 and 206,742.27 is: 285,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,504.50 : 519,579.86 = 206,742.27 : x
  2. Step 2: Convert to fraction form
    376,504.50/519,579.86 = 206,742.27/x
  3. Step 3: Cross multiply
    376,504.50x = 519,579.86 × 206,742.27
  4. Step 4: Simplify right side
    376,504.50x = 107,419,118,668.97
  5. Step 5: Solve for x
    x = 107,419,118,668.97/376,504.50
  6. Step 6: Final answer
    x = 285,306.33

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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.