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Finding the Fourth Proportional to 431,344.80, 646,863.60 and 194,800.80

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Solution

The fourth proportional to 431,344.80, 646,863.60 and 194,800.80 is: 292,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,344.80 : 646,863.60 = 194,800.80 : x
  2. Step 2: Convert to fraction form
    431,344.80/646,863.60 = 194,800.80/x
  3. Step 3: Cross multiply
    431,344.80x = 646,863.60 × 194,800.80
  4. Step 4: Simplify right side
    431,344.80x = 126,009,546,770.88
  5. Step 5: Solve for x
    x = 126,009,546,770.88/431,344.80
  6. Step 6: Final answer
    x = 292,131.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.