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Finding the Fourth Proportional to 347,514.77, 479,543.90 and 194,517.92

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Solution

The fourth proportional to 347,514.77, 479,543.90 and 194,517.92 is: 268,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,514.77 : 479,543.90 = 194,517.92 : x
  2. Step 2: Convert to fraction form
    347,514.77/479,543.90 = 194,517.92/x
  3. Step 3: Cross multiply
    347,514.77x = 479,543.90 × 194,517.92
  4. Step 4: Simplify right side
    347,514.77x = 93,279,882,202.96
  5. Step 5: Solve for x
    x = 93,279,882,202.96/347,514.77
  6. Step 6: Final answer
    x = 268,419.90

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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.