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Finding the Fourth Proportional to 347,498, 479,544 and 196,595

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Solution

The fourth proportional to 347,498, 479,544 and 196,595 is: 271,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,498 : 479,544 = 196,595 : x
  2. Step 2: Convert to fraction form
    347,498/479,544 = 196,595/x
  3. Step 3: Cross multiply
    347,498x = 479,544 × 196,595
  4. Step 4: Simplify right side
    347,498x = 94,275,952,680
  5. Step 5: Solve for x
    x = 94,275,952,680/347,498
  6. Step 6: Final answer
    x = 271,299.27

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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.