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Finding the Fourth Proportional to 275,951.44, 413,580.90 and 117,994.48

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Solution

The fourth proportional to 275,951.44, 413,580.90 and 117,994.48 is: 176,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,951.44 : 413,580.90 = 117,994.48 : x
  2. Step 2: Convert to fraction form
    275,951.44/413,580.90 = 117,994.48/x
  3. Step 3: Cross multiply
    275,951.44x = 413,580.90 × 117,994.48
  4. Step 4: Simplify right side
    275,951.44x = 48,800,263,233.43
  5. Step 5: Solve for x
    x = 48,800,263,233.43/275,951.44
  6. Step 6: Final answer
    x = 176,843.66

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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.