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Finding the Fourth Proportional to 451,940.61, 677,434.30 and 148,255.47

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Solution

The fourth proportional to 451,940.61, 677,434.30 and 148,255.47 is: 222,226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,940.61 : 677,434.30 = 148,255.47 : x
  2. Step 2: Convert to fraction form
    451,940.61/677,434.30 = 148,255.47/x
  3. Step 3: Cross multiply
    451,940.61x = 677,434.30 × 148,255.47
  4. Step 4: Simplify right side
    451,940.61x = 100,433,340,540.62
  5. Step 5: Solve for x
    x = 100,433,340,540.62/451,940.61
  6. Step 6: Final answer
    x = 222,226.86

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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.