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Finding the Fourth Proportional to 412,540.92, 569,296.22 and 228,778.44

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Solution

The fourth proportional to 412,540.92, 569,296.22 and 228,778.44 is: 315,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,540.92 : 569,296.22 = 228,778.44 : x
  2. Step 2: Convert to fraction form
    412,540.92/569,296.22 = 228,778.44/x
  3. Step 3: Cross multiply
    412,540.92x = 569,296.22 × 228,778.44
  4. Step 4: Simplify right side
    412,540.92x = 130,242,701,109.50
  5. Step 5: Solve for x
    x = 130,242,701,109.50/412,540.92
  6. Step 6: Final answer
    x = 315,708.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.