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Finding the Fourth Proportional to 357,993.66, 494,043.96 and 196,860.97

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Solution

The fourth proportional to 357,993.66, 494,043.96 and 196,860.97 is: 271,675.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,993.66 : 494,043.96 = 196,860.97 : x
  2. Step 2: Convert to fraction form
    357,993.66/494,043.96 = 196,860.97/x
  3. Step 3: Cross multiply
    357,993.66x = 494,043.96 × 196,860.97
  4. Step 4: Simplify right side
    357,993.66x = 97,257,970,657.68
  5. Step 5: Solve for x
    x = 97,257,970,657.68/357,993.66
  6. Step 6: Final answer
    x = 271,675.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.