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Finding the Fourth Proportional to 357,537.42, 493,399.83 and 196,391.97

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Solution

The fourth proportional to 357,537.42, 493,399.83 and 196,391.97 is: 271,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,537.42 : 493,399.83 = 196,391.97 : x
  2. Step 2: Convert to fraction form
    357,537.42/493,399.83 = 196,391.97/x
  3. Step 3: Cross multiply
    357,537.42x = 493,399.83 × 196,391.97
  4. Step 4: Simplify right side
    357,537.42x = 96,899,764,611.37
  5. Step 5: Solve for x
    x = 96,899,764,611.37/357,537.42
  6. Step 6: Final answer
    x = 271,019.92

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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.