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Finding the Fourth Proportional to 297,523.38, 410,567.49 and 168,441.78

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Solution

The fourth proportional to 297,523.38, 410,567.49 and 168,441.78 is: 232,441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,523.38 : 410,567.49 = 168,441.78 : x
  2. Step 2: Convert to fraction form
    297,523.38/410,567.49 = 168,441.78/x
  3. Step 3: Cross multiply
    297,523.38x = 410,567.49 × 168,441.78
  4. Step 4: Simplify right side
    297,523.38x = 69,156,718,825.73
  5. Step 5: Solve for x
    x = 69,156,718,825.73/297,523.38
  6. Step 6: Final answer
    x = 232,441.29

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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.