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Finding the Fourth Proportional to 297,362.88, 410,361.17 and 161,396.82

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Solution

The fourth proportional to 297,362.88, 410,361.17 and 161,396.82 is: 222,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,362.88 : 410,361.17 = 161,396.82 : x
  2. Step 2: Convert to fraction form
    297,362.88/410,361.17 = 161,396.82/x
  3. Step 3: Cross multiply
    297,362.88x = 410,361.17 × 161,396.82
  4. Step 4: Simplify right side
    297,362.88x = 66,230,987,082.50
  5. Step 5: Solve for x
    x = 66,230,987,082.50/297,362.88
  6. Step 6: Final answer
    x = 222,727.82

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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.