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Finding the Fourth Proportional to 345,474.23, 476,748.11 and 194,571.23

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Solution

The fourth proportional to 345,474.23, 476,748.11 and 194,571.23 is: 268,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,474.23 : 476,748.11 = 194,571.23 : x
  2. Step 2: Convert to fraction form
    345,474.23/476,748.11 = 194,571.23/x
  3. Step 3: Cross multiply
    345,474.23x = 476,748.11 × 194,571.23
  4. Step 4: Simplify right side
    345,474.23x = 92,761,464,265.56
  5. Step 5: Solve for x
    x = 92,761,464,265.56/345,474.23
  6. Step 6: Final answer
    x = 268,504.73

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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.