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Finding the Fourth Proportional to 297,082.88, 409,974.59 and 161,116.82

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Solution

The fourth proportional to 297,082.88, 409,974.59 and 161,116.82 is: 222,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,082.88 : 409,974.59 = 161,116.82 : x
  2. Step 2: Convert to fraction form
    297,082.88/409,974.59 = 161,116.82/x
  3. Step 3: Cross multiply
    297,082.88x = 409,974.59 × 161,116.82
  4. Step 4: Simplify right side
    297,082.88x = 66,053,802,221.60
  5. Step 5: Solve for x
    x = 66,053,802,221.60/297,082.88
  6. Step 6: Final answer
    x = 222,341.33

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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.