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Finding the Fourth Proportional to 267,685.34, 369,839.67 and 227,820.38

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Solution

The fourth proportional to 267,685.34, 369,839.67 and 227,820.38 is: 314,761.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,685.34 : 369,839.67 = 227,820.38 : x
  2. Step 2: Convert to fraction form
    267,685.34/369,839.67 = 227,820.38/x
  3. Step 3: Cross multiply
    267,685.34x = 369,839.67 × 227,820.38
  4. Step 4: Simplify right side
    267,685.34x = 84,257,014,158.47
  5. Step 5: Solve for x
    x = 84,257,014,158.47/267,685.34
  6. Step 6: Final answer
    x = 314,761.41

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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.