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Finding the Fourth Proportional to 431,249.60, 647,104.80 and 194,628.80

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Solution

The fourth proportional to 431,249.60, 647,104.80 and 194,628.80 is: 292,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,249.60 : 647,104.80 = 194,628.80 : x
  2. Step 2: Convert to fraction form
    431,249.60/647,104.80 = 194,628.80/x
  3. Step 3: Cross multiply
    431,249.60x = 647,104.80 × 194,628.80
  4. Step 4: Simplify right side
    431,249.60x = 125,945,230,698.24
  5. Step 5: Solve for x
    x = 125,945,230,698.24/431,249.60
  6. Step 6: Final answer
    x = 292,047.18

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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.