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Finding the Fourth Proportional to 431,115.40, 646,770.30 and 131,609.80

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Solution

The fourth proportional to 431,115.40, 646,770.30 and 131,609.80 is: 197,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,115.40 : 646,770.30 = 131,609.80 : x
  2. Step 2: Convert to fraction form
    431,115.40/646,770.30 = 131,609.80/x
  3. Step 3: Cross multiply
    431,115.40x = 646,770.30 × 131,609.80
  4. Step 4: Simplify right side
    431,115.40x = 85,121,309,828.94
  5. Step 5: Solve for x
    x = 85,121,309,828.94/431,115.40
  6. Step 6: Final answer
    x = 197,444.37

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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.