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Finding the Fourth Proportional to 358,123.88, 494,211.20 and 196,991.19

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Solution

The fourth proportional to 358,123.88, 494,211.20 and 196,991.19 is: 271,847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,123.88 : 494,211.20 = 196,991.19 : x
  2. Step 2: Convert to fraction form
    358,123.88/494,211.20 = 196,991.19/x
  3. Step 3: Cross multiply
    358,123.88x = 494,211.20 × 196,991.19
  4. Step 4: Simplify right side
    358,123.88x = 97,355,251,414.37
  5. Step 5: Solve for x
    x = 97,355,251,414.37/358,123.88
  6. Step 6: Final answer
    x = 271,847.97

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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.