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Finding the Fourth Proportional to 512,309.01, 768,500.43 and 196,765.89

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Solution

The fourth proportional to 512,309.01, 768,500.43 and 196,765.89 is: 295,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,309.01 : 768,500.43 = 196,765.89 : x
  2. Step 2: Convert to fraction form
    512,309.01/768,500.43 = 196,765.89/x
  3. Step 3: Cross multiply
    512,309.01x = 768,500.43 × 196,765.89
  4. Step 4: Simplify right side
    512,309.01x = 151,214,671,074.33
  5. Step 5: Solve for x
    x = 151,214,671,074.33/512,309.01
  6. Step 6: Final answer
    x = 295,163.01

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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.