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Finding the Fourth Proportional to 357,980.43, 494,014.82 and 196,845.92

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Solution

The fourth proportional to 357,980.43, 494,014.82 and 196,845.92 is: 271,648.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,980.43 : 494,014.82 = 196,845.92 : x
  2. Step 2: Convert to fraction form
    357,980.43/494,014.82 = 196,845.92/x
  3. Step 3: Cross multiply
    357,980.43x = 494,014.82 × 196,845.92
  4. Step 4: Simplify right side
    357,980.43x = 97,244,801,736.53
  5. Step 5: Solve for x
    x = 97,244,801,736.53/357,980.43
  6. Step 6: Final answer
    x = 271,648.37

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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.