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Finding the Fourth Proportional to 274,714.49, 412,703.31 and 193,847.59

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Solution

The fourth proportional to 274,714.49, 412,703.31 and 193,847.59 is: 291,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,714.49 : 412,703.31 = 193,847.59 : x
  2. Step 2: Convert to fraction form
    274,714.49/412,703.31 = 193,847.59/x
  3. Step 3: Cross multiply
    274,714.49x = 412,703.31 × 193,847.59
  4. Step 4: Simplify right side
    274,714.49x = 80,001,540,949.87
  5. Step 5: Solve for x
    x = 80,001,540,949.87/274,714.49
  6. Step 6: Final answer
    x = 291,217.04

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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.