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Finding the Fourth Proportional to 349,759.44, 482,657.49 and 196,806.06

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Solution

The fourth proportional to 349,759.44, 482,657.49 and 196,806.06 is: 271,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,759.44 : 482,657.49 = 196,806.06 : x
  2. Step 2: Convert to fraction form
    349,759.44/482,657.49 = 196,806.06/x
  3. Step 3: Cross multiply
    349,759.44x = 482,657.49 × 196,806.06
  4. Step 4: Simplify right side
    349,759.44x = 94,989,918,936.39
  5. Step 5: Solve for x
    x = 94,989,918,936.39/349,759.44
  6. Step 6: Final answer
    x = 271,586.43

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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.