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Finding the Fourth Proportional to 407,908.80, 611,344.80 and 197,092.80

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Solution

The fourth proportional to 407,908.80, 611,344.80 and 197,092.80 is: 295,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,908.80 : 611,344.80 = 197,092.80 : x
  2. Step 2: Convert to fraction form
    407,908.80/611,344.80 = 197,092.80/x
  3. Step 3: Cross multiply
    407,908.80x = 611,344.80 × 197,092.80
  4. Step 4: Simplify right side
    407,908.80x = 120,491,658,397.44
  5. Step 5: Solve for x
    x = 120,491,658,397.44/407,908.80
  6. Step 6: Final answer
    x = 295,388.72

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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.