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Finding the Fourth Proportional to 512,407.53, 768,676.91 and 196,823.43

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Solution

The fourth proportional to 512,407.53, 768,676.91 and 196,823.43 is: 295,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,407.53 : 768,676.91 = 196,823.43 : x
  2. Step 2: Convert to fraction form
    512,407.53/768,676.91 = 196,823.43/x
  3. Step 3: Cross multiply
    512,407.53x = 768,676.91 × 196,823.43
  4. Step 4: Simplify right side
    512,407.53x = 151,293,625,003.88
  5. Step 5: Solve for x
    x = 151,293,625,003.88/512,407.53
  6. Step 6: Final answer
    x = 295,260.35

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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.