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Finding the Fourth Proportional to 449,781.22, 674,858.31 and 196,931.20

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Solution

The fourth proportional to 449,781.22, 674,858.31 and 196,931.20 is: 295,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,781.22 : 674,858.31 = 196,931.20 : x
  2. Step 2: Convert to fraction form
    449,781.22/674,858.31 = 196,931.20/x
  3. Step 3: Cross multiply
    449,781.22x = 674,858.31 × 196,931.20
  4. Step 4: Simplify right side
    449,781.22x = 132,900,656,818.27
  5. Step 5: Solve for x
    x = 132,900,656,818.27/449,781.22
  6. Step 6: Final answer
    x = 295,478.45

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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.