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Finding the Fourth Proportional to 322,744.14, 445,081.21 and 206,494.39

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Solution

The fourth proportional to 322,744.14, 445,081.21 and 206,494.39 is: 284,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,744.14 : 445,081.21 = 206,494.39 : x
  2. Step 2: Convert to fraction form
    322,744.14/445,081.21 = 206,494.39/x
  3. Step 3: Cross multiply
    322,744.14x = 445,081.21 × 206,494.39
  4. Step 4: Simplify right side
    322,744.14x = 91,906,772,959.41
  5. Step 5: Solve for x
    x = 91,906,772,959.41/322,744.14
  6. Step 6: Final answer
    x = 284,766.67

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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.