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Finding the Fourth Proportional to 379,882.44, 569,540.70 and 127,013.22

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Solution

The fourth proportional to 379,882.44, 569,540.70 and 127,013.22 is: 190,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,882.44 : 569,540.70 = 127,013.22 : x
  2. Step 2: Convert to fraction form
    379,882.44/569,540.70 = 127,013.22/x
  3. Step 3: Cross multiply
    379,882.44x = 569,540.70 × 127,013.22
  4. Step 4: Simplify right side
    379,882.44x = 72,339,198,228.05
  5. Step 5: Solve for x
    x = 72,339,198,228.05/379,882.44
  6. Step 6: Final answer
    x = 190,425.22

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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.