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Finding the Fourth Proportional to 512,310.01, 768,501.93 and 196,766.89

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Solution

The fourth proportional to 512,310.01, 768,501.93 and 196,766.89 is: 295,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,310.01 : 768,501.93 = 196,766.89 : x
  2. Step 2: Convert to fraction form
    512,310.01/768,501.93 = 196,766.89/x
  3. Step 3: Cross multiply
    512,310.01x = 768,501.93 × 196,766.89
  4. Step 4: Simplify right side
    512,310.01x = 151,215,734,725.10
  5. Step 5: Solve for x
    x = 151,215,734,725.10/512,310.01
  6. Step 6: Final answer
    x = 295,164.51

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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.