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Finding the Fourth Proportional to 274,644.44, 378,943.98 and 167,213.24

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Solution

The fourth proportional to 274,644.44, 378,943.98 and 167,213.24 is: 230,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.44 : 378,943.98 = 167,213.24 : x
  2. Step 2: Convert to fraction form
    274,644.44/378,943.98 = 167,213.24/x
  3. Step 3: Cross multiply
    274,644.44x = 378,943.98 × 167,213.24
  4. Step 4: Simplify right side
    274,644.44x = 63,364,450,674.30
  5. Step 5: Solve for x
    x = 63,364,450,674.30/274,644.44
  6. Step 6: Final answer
    x = 230,714.49

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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.