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Finding the Fourth Proportional to 270,584.44, 405,286.14 and 165,083.56

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Solution

The fourth proportional to 270,584.44, 405,286.14 and 165,083.56 is: 247,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,584.44 : 405,286.14 = 165,083.56 : x
  2. Step 2: Convert to fraction form
    270,584.44/405,286.14 = 165,083.56/x
  3. Step 3: Cross multiply
    270,584.44x = 405,286.14 × 165,083.56
  4. Step 4: Simplify right side
    270,584.44x = 66,906,078,809.86
  5. Step 5: Solve for x
    x = 66,906,078,809.86/270,584.44
  6. Step 6: Final answer
    x = 247,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.