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Finding the Fourth Proportional to 297,603.75, 410,645.19 and 182,845.49

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Solution

The fourth proportional to 297,603.75, 410,645.19 and 182,845.49 is: 252,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,603.75 : 410,645.19 = 182,845.49 : x
  2. Step 2: Convert to fraction form
    297,603.75/410,645.19 = 182,845.49/x
  3. Step 3: Cross multiply
    297,603.75x = 410,645.19 × 182,845.49
  4. Step 4: Simplify right side
    297,603.75x = 75,084,619,614.14
  5. Step 5: Solve for x
    x = 75,084,619,614.14/297,603.75
  6. Step 6: Final answer
    x = 252,297.29

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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.