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Finding the Fourth Proportional to 228,478.26, 314,736.62 and 194,377.52

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Solution

The fourth proportional to 228,478.26, 314,736.62 and 194,377.52 is: 267,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,478.26 : 314,736.62 = 194,377.52 : x
  2. Step 2: Convert to fraction form
    228,478.26/314,736.62 = 194,377.52/x
  3. Step 3: Cross multiply
    228,478.26x = 314,736.62 × 194,377.52
  4. Step 4: Simplify right side
    228,478.26x = 61,177,723,648.78
  5. Step 5: Solve for x
    x = 61,177,723,648.78/228,478.26
  6. Step 6: Final answer
    x = 267,761.68

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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.