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Finding the Fourth Proportional to 383,903.93, 575,855.78 and 206,166.44

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Solution

The fourth proportional to 383,903.93, 575,855.78 and 206,166.44 is: 309,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,903.93 : 575,855.78 = 206,166.44 : x
  2. Step 2: Convert to fraction form
    383,903.93/575,855.78 = 206,166.44/x
  3. Step 3: Cross multiply
    383,903.93x = 575,855.78 × 206,166.44
  4. Step 4: Simplify right side
    383,903.93x = 118,722,132,205.91
  5. Step 5: Solve for x
    x = 118,722,132,205.91/383,903.93
  6. Step 6: Final answer
    x = 309,249.59

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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.