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Finding the Fourth Proportional to 320,860.68, 443,087.78 and 206,338.20

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Solution

The fourth proportional to 320,860.68, 443,087.78 and 206,338.20 is: 284,939.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,860.68 : 443,087.78 = 206,338.20 : x
  2. Step 2: Convert to fraction form
    320,860.68/443,087.78 = 206,338.20/x
  3. Step 3: Cross multiply
    320,860.68x = 443,087.78 × 206,338.20
  4. Step 4: Simplify right side
    320,860.68x = 91,425,933,320.43
  5. Step 5: Solve for x
    x = 91,425,933,320.43/320,860.68
  6. Step 6: Final answer
    x = 284,939.66

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