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Finding the Fourth Proportional to 274,523.86, 378,576.76 and 214,072.44

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Solution

The fourth proportional to 274,523.86, 378,576.76 and 214,072.44 is: 295,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,523.86 : 378,576.76 = 214,072.44 : x
  2. Step 2: Convert to fraction form
    274,523.86/378,576.76 = 214,072.44/x
  3. Step 3: Cross multiply
    274,523.86x = 378,576.76 × 214,072.44
  4. Step 4: Simplify right side
    274,523.86x = 81,042,852,983.36
  5. Step 5: Solve for x
    x = 81,042,852,983.36/274,523.86
  6. Step 6: Final answer
    x = 295,212.42

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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.