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Finding the Fourth Proportional to 296,361.78, 408,953.37 and 175,481.43

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Solution

The fourth proportional to 296,361.78, 408,953.37 and 175,481.43 is: 242,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,361.78 : 408,953.37 = 175,481.43 : x
  2. Step 2: Convert to fraction form
    296,361.78/408,953.37 = 175,481.43/x
  3. Step 3: Cross multiply
    296,361.78x = 408,953.37 × 175,481.43
  4. Step 4: Simplify right side
    296,361.78x = 71,763,722,170.92
  5. Step 5: Solve for x
    x = 71,763,722,170.92/296,361.78
  6. Step 6: Final answer
    x = 242,149.05

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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.