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Finding the Fourth Proportional to 431,194.60, 646,888.86 and 131,650.12

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Solution

The fourth proportional to 431,194.60, 646,888.86 and 131,650.12 is: 197,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,194.60 : 646,888.86 = 131,650.12 : x
  2. Step 2: Convert to fraction form
    431,194.60/646,888.86 = 131,650.12/x
  3. Step 3: Cross multiply
    431,194.60x = 646,888.86 × 131,650.12
  4. Step 4: Simplify right side
    431,194.60x = 85,162,996,045.66
  5. Step 5: Solve for x
    x = 85,162,996,045.66/431,194.60
  6. Step 6: Final answer
    x = 197,504.78

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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.