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Finding the Fourth Proportional to 699,121.86, 964,760.38 and 412,734.21

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Solution

The fourth proportional to 699,121.86, 964,760.38 and 412,734.21 is: 569,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,121.86 : 964,760.38 = 412,734.21 : x
  2. Step 2: Convert to fraction form
    699,121.86/964,760.38 = 412,734.21/x
  3. Step 3: Cross multiply
    699,121.86x = 964,760.38 × 412,734.21
  4. Step 4: Simplify right side
    699,121.86x = 398,189,613,278.60
  5. Step 5: Solve for x
    x = 398,189,613,278.60/699,121.86
  6. Step 6: Final answer
    x = 569,556.81

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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.