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Finding the Fourth Proportional to 297,361.39, 410,359.96 and 161,395.54

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Solution

The fourth proportional to 297,361.39, 410,359.96 and 161,395.54 is: 222,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,361.39 : 410,359.96 = 161,395.54 : x
  2. Step 2: Convert to fraction form
    297,361.39/410,359.96 = 161,395.54/x
  3. Step 3: Cross multiply
    297,361.39x = 410,359.96 × 161,395.54
  4. Step 4: Simplify right side
    297,361.39x = 66,230,267,338.58
  5. Step 5: Solve for x
    x = 66,230,267,338.58/297,361.39
  6. Step 6: Final answer
    x = 222,726.52

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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.