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Finding the Fourth Proportional to 297,383.43, 410,378.07 and 161,414.46

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Solution

The fourth proportional to 297,383.43, 410,378.07 and 161,414.46 is: 222,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,383.43 : 410,378.07 = 161,414.46 : x
  2. Step 2: Convert to fraction form
    297,383.43/410,378.07 = 161,414.46/x
  3. Step 3: Cross multiply
    297,383.43x = 410,378.07 × 161,414.46
  4. Step 4: Simplify right side
    297,383.43x = 66,240,954,564.89
  5. Step 5: Solve for x
    x = 66,240,954,564.89/297,383.43
  6. Step 6: Final answer
    x = 222,745.95

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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.