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Finding the Fourth Proportional to 349,922.38, 482,908.20 and 196,970.44

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Solution

The fourth proportional to 349,922.38, 482,908.20 and 196,970.44 is: 271,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,922.38 : 482,908.20 = 196,970.44 : x
  2. Step 2: Convert to fraction form
    349,922.38/482,908.20 = 196,970.44/x
  3. Step 3: Cross multiply
    349,922.38x = 482,908.20 × 196,970.44
  4. Step 4: Simplify right side
    349,922.38x = 95,118,640,633.61
  5. Step 5: Solve for x
    x = 95,118,640,633.61/349,922.38
  6. Step 6: Final answer
    x = 271,827.83

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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.