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Finding the Fourth Proportional to 383,900.92, 575,851.28 and 206,163.43

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Solution

The fourth proportional to 383,900.92, 575,851.28 and 206,163.43 is: 309,245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,900.92 : 575,851.28 = 206,163.43 : x
  2. Step 2: Convert to fraction form
    383,900.92/575,851.28 = 206,163.43/x
  3. Step 3: Cross multiply
    383,900.92x = 575,851.28 × 206,163.43
  4. Step 4: Simplify right side
    383,900.92x = 118,719,472,584.25
  5. Step 5: Solve for x
    x = 118,719,472,584.25/383,900.92
  6. Step 6: Final answer
    x = 309,245.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.