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Finding the Fourth Proportional to 297,359.74, 410,359.40 and 161,394.90

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Solution

The fourth proportional to 297,359.74, 410,359.40 and 161,394.90 is: 222,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,359.74 : 410,359.40 = 161,394.90 : x
  2. Step 2: Convert to fraction form
    297,359.74/410,359.40 = 161,394.90/x
  3. Step 3: Cross multiply
    297,359.74x = 410,359.40 × 161,394.90
  4. Step 4: Simplify right side
    297,359.74x = 66,229,914,327.06
  5. Step 5: Solve for x
    x = 66,229,914,327.06/297,359.74
  6. Step 6: Final answer
    x = 222,726.57

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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.