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Finding the Fourth Proportional to 356,084.66, 491,408.43 and 194,939.66

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Solution

The fourth proportional to 356,084.66, 491,408.43 and 194,939.66 is: 269,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,084.66 : 491,408.43 = 194,939.66 : x
  2. Step 2: Convert to fraction form
    356,084.66/491,408.43 = 194,939.66/x
  3. Step 3: Cross multiply
    356,084.66x = 491,408.43 × 194,939.66
  4. Step 4: Simplify right side
    356,084.66x = 95,794,992,265.33
  5. Step 5: Solve for x
    x = 95,794,992,265.33/356,084.66
  6. Step 6: Final answer
    x = 269,023.08

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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.