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Finding the Fourth Proportional to 307,540.80, 461,311.20 and 165,823.20

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Solution

The fourth proportional to 307,540.80, 461,311.20 and 165,823.20 is: 248,734.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,540.80 : 461,311.20 = 165,823.20 : x
  2. Step 2: Convert to fraction form
    307,540.80/461,311.20 = 165,823.20/x
  3. Step 3: Cross multiply
    307,540.80x = 461,311.20 × 165,823.20
  4. Step 4: Simplify right side
    307,540.80x = 76,496,099,379.84
  5. Step 5: Solve for x
    x = 76,496,099,379.84/307,540.80
  6. Step 6: Final answer
    x = 248,734.80

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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.