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Finding the Fourth Proportional to 331,930.82, 457,995.84 and 194,083.22

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Solution

The fourth proportional to 331,930.82, 457,995.84 and 194,083.22 is: 267,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,930.82 : 457,995.84 = 194,083.22 : x
  2. Step 2: Convert to fraction form
    331,930.82/457,995.84 = 194,083.22/x
  3. Step 3: Cross multiply
    331,930.82x = 457,995.84 × 194,083.22
  4. Step 4: Simplify right side
    331,930.82x = 88,889,307,373.80
  5. Step 5: Solve for x
    x = 88,889,307,373.80/331,930.82
  6. Step 6: Final answer
    x = 267,794.68

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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.