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Finding the Fourth Proportional to 305,952.70, 422,211.69 and 169,983.73

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Solution

The fourth proportional to 305,952.70, 422,211.69 and 169,983.73 is: 234,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,952.70 : 422,211.69 = 169,983.73 : x
  2. Step 2: Convert to fraction form
    305,952.70/422,211.69 = 169,983.73/x
  3. Step 3: Cross multiply
    305,952.70x = 422,211.69 × 169,983.73
  4. Step 4: Simplify right side
    305,952.70x = 71,769,118,414.43
  5. Step 5: Solve for x
    x = 71,769,118,414.43/305,952.70
  6. Step 6: Final answer
    x = 234,575.86

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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.