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Finding the Fourth Proportional to 307,855.20, 462,074.40 and 189,757.20

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Solution

The fourth proportional to 307,855.20, 462,074.40 and 189,757.20 is: 284,815.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,855.20 : 462,074.40 = 189,757.20 : x
  2. Step 2: Convert to fraction form
    307,855.20/462,074.40 = 189,757.20/x
  3. Step 3: Cross multiply
    307,855.20x = 462,074.40 × 189,757.20
  4. Step 4: Simplify right side
    307,855.20x = 87,681,944,335.68
  5. Step 5: Solve for x
    x = 87,681,944,335.68/307,855.20
  6. Step 6: Final answer
    x = 284,815.54

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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.