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Finding the Fourth Proportional to 297,296.38, 410,265.89 and 166,474.29

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Solution

The fourth proportional to 297,296.38, 410,265.89 and 166,474.29 is: 229,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,296.38 : 410,265.89 = 166,474.29 : x
  2. Step 2: Convert to fraction form
    297,296.38/410,265.89 = 166,474.29/x
  3. Step 3: Cross multiply
    297,296.38x = 410,265.89 × 166,474.29
  4. Step 4: Simplify right side
    297,296.38x = 68,298,725,015.79
  5. Step 5: Solve for x
    x = 68,298,725,015.79/297,296.38
  6. Step 6: Final answer
    x = 229,732.78

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1.5x scale

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.