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Finding the Fourth Proportional to 356,348.66, 491,367.09 and 227,082.38

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Solution

The fourth proportional to 356,348.66, 491,367.09 and 227,082.38 is: 313,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,348.66 : 491,367.09 = 227,082.38 : x
  2. Step 2: Convert to fraction form
    356,348.66/491,367.09 = 227,082.38/x
  3. Step 3: Cross multiply
    356,348.66x = 491,367.09 × 227,082.38
  4. Step 4: Simplify right side
    356,348.66x = 111,580,809,479.29
  5. Step 5: Solve for x
    x = 111,580,809,479.29/356,348.66
  6. Step 6: Final answer
    x = 313,122.57

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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.