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Finding the Fourth Proportional to 383,879.76, 575,820.60 and 196,789.20

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Solution

The fourth proportional to 383,879.76, 575,820.60 and 196,789.20 is: 295,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,879.76 : 575,820.60 = 196,789.20 : x
  2. Step 2: Convert to fraction form
    383,879.76/575,820.60 = 196,789.20/x
  3. Step 3: Cross multiply
    383,879.76x = 575,820.60 × 196,789.20
  4. Step 4: Simplify right side
    383,879.76x = 113,315,275,217.52
  5. Step 5: Solve for x
    x = 113,315,275,217.52/383,879.76
  6. Step 6: Final answer
    x = 295,184.29

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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.