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Finding the Fourth Proportional to 297,296.82, 410,267.57 and 161,327.34

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Solution

The fourth proportional to 297,296.82, 410,267.57 and 161,327.34 is: 222,630.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,296.82 : 410,267.57 = 161,327.34 : x
  2. Step 2: Convert to fraction form
    297,296.82/410,267.57 = 161,327.34/x
  3. Step 3: Cross multiply
    297,296.82x = 410,267.57 × 161,327.34
  4. Step 4: Simplify right side
    297,296.82x = 66,187,374,949.73
  5. Step 5: Solve for x
    x = 66,187,374,949.73/297,296.82
  6. Step 6: Final answer
    x = 222,630.62

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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.