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Finding the Fourth Proportional to 347,746.92, 479,902.54 and 194,791.64

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Solution

The fourth proportional to 347,746.92, 479,902.54 and 194,791.64 is: 268,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,746.92 : 479,902.54 = 194,791.64 : x
  2. Step 2: Convert to fraction form
    347,746.92/479,902.54 = 194,791.64/x
  3. Step 3: Cross multiply
    347,746.92x = 479,902.54 × 194,791.64
  4. Step 4: Simplify right side
    347,746.92x = 93,481,002,806.77
  5. Step 5: Solve for x
    x = 93,481,002,806.77/347,746.92
  6. Step 6: Final answer
    x = 268,819.07

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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.