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Finding the Fourth Proportional to 356,067.84, 491,373.81 and 194,922.84

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Solution

The fourth proportional to 356,067.84, 491,373.81 and 194,922.84 is: 268,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,067.84 : 491,373.81 = 194,922.84 : x
  2. Step 2: Convert to fraction form
    356,067.84/491,373.81 = 194,922.84/x
  3. Step 3: Cross multiply
    356,067.84x = 491,373.81 × 194,922.84
  4. Step 4: Simplify right side
    356,067.84x = 95,779,978,546.82
  5. Step 5: Solve for x
    x = 95,779,978,546.82/356,067.84
  6. Step 6: Final answer
    x = 268,993.62

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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.