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Finding the Fourth Proportional to 431,231.60, 646,847.40 and 194,687.60

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Solution

The fourth proportional to 431,231.60, 646,847.40 and 194,687.60 is: 292,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,231.60 : 646,847.40 = 194,687.60 : x
  2. Step 2: Convert to fraction form
    431,231.60/646,847.40 = 194,687.60/x
  3. Step 3: Cross multiply
    431,231.60x = 646,847.40 × 194,687.60
  4. Step 4: Simplify right side
    431,231.60x = 125,933,167,872.24
  5. Step 5: Solve for x
    x = 125,933,167,872.24/431,231.60
  6. Step 6: Final answer
    x = 292,031.40

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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.