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Finding the Fourth Proportional to 357,372.56, 493,174.14 and 206,469.56

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Solution

The fourth proportional to 357,372.56, 493,174.14 and 206,469.56 is: 284,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,372.56 : 493,174.14 = 206,469.56 : x
  2. Step 2: Convert to fraction form
    357,372.56/493,174.14 = 206,469.56/x
  3. Step 3: Cross multiply
    357,372.56x = 493,174.14 × 206,469.56
  4. Step 4: Simplify right side
    357,372.56x = 101,825,448,147.85
  5. Step 5: Solve for x
    x = 101,825,448,147.85/357,372.56
  6. Step 6: Final answer
    x = 284,928.00

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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.