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Finding the Fourth Proportional to 383,959.20, 576,226.80 and 196,874.40

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Solution

The fourth proportional to 383,959.20, 576,226.80 and 196,874.40 is: 295,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,959.20 : 576,226.80 = 196,874.40 : x
  2. Step 2: Convert to fraction form
    383,959.20/576,226.80 = 196,874.40/x
  3. Step 3: Cross multiply
    383,959.20x = 576,226.80 × 196,874.40
  4. Step 4: Simplify right side
    383,959.20x = 113,444,305,513.92
  5. Step 5: Solve for x
    x = 113,444,305,513.92/383,959.20
  6. Step 6: Final answer
    x = 295,459.27

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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.