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Finding the Fourth Proportional to 297,765.73, 410,919.31 and 161,799.68

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Solution

The fourth proportional to 297,765.73, 410,919.31 and 161,799.68 is: 223,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,765.73 : 410,919.31 = 161,799.68 : x
  2. Step 2: Convert to fraction form
    297,765.73/410,919.31 = 161,799.68/x
  3. Step 3: Cross multiply
    297,765.73x = 410,919.31 × 161,799.68
  4. Step 4: Simplify right side
    297,765.73x = 66,486,611,781.95
  5. Step 5: Solve for x
    x = 66,486,611,781.95/297,765.73
  6. Step 6: Final answer
    x = 223,284.97

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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.