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Finding the Fourth Proportional to 322,083.32, 444,515.98 and 194,759.82

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Solution

The fourth proportional to 322,083.32, 444,515.98 and 194,759.82 is: 268,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,083.32 : 444,515.98 = 194,759.82 : x
  2. Step 2: Convert to fraction form
    322,083.32/444,515.98 = 194,759.82/x
  3. Step 3: Cross multiply
    322,083.32x = 444,515.98 × 194,759.82
  4. Step 4: Simplify right side
    322,083.32x = 86,573,852,251.92
  5. Step 5: Solve for x
    x = 86,573,852,251.92/322,083.32
  6. Step 6: Final answer
    x = 268,793.34

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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.