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Finding the Fourth Proportional to 489,839.97, 675,932.94 and 274,938.06

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Solution

The fourth proportional to 489,839.97, 675,932.94 and 274,938.06 is: 379,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,839.97 : 675,932.94 = 274,938.06 : x
  2. Step 2: Convert to fraction form
    489,839.97/675,932.94 = 274,938.06/x
  3. Step 3: Cross multiply
    489,839.97x = 675,932.94 × 274,938.06
  4. Step 4: Simplify right side
    489,839.97x = 185,839,691,213.70
  5. Step 5: Solve for x
    x = 185,839,691,213.70/489,839.97
  6. Step 6: Final answer
    x = 379,388.58

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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.