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Finding the Fourth Proportional to 356,097.89, 491,400.28 and 194,948.93

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Solution

The fourth proportional to 356,097.89, 491,400.28 and 194,948.93 is: 269,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,097.89 : 491,400.28 = 194,948.93 : x
  2. Step 2: Convert to fraction form
    356,097.89/491,400.28 = 194,948.93/x
  3. Step 3: Cross multiply
    356,097.89x = 491,400.28 × 194,948.93
  4. Step 4: Simplify right side
    356,097.89x = 95,797,958,787.70
  5. Step 5: Solve for x
    x = 95,797,958,787.70/356,097.89
  6. Step 6: Final answer
    x = 269,021.42

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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.