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Finding the Fourth Proportional to 512,311.01, 768,503.43 and 196,767.89

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Solution

The fourth proportional to 512,311.01, 768,503.43 and 196,767.89 is: 295,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,311.01 : 768,503.43 = 196,767.89 : x
  2. Step 2: Convert to fraction form
    512,311.01/768,503.43 = 196,767.89/x
  3. Step 3: Cross multiply
    512,311.01x = 768,503.43 × 196,767.89
  4. Step 4: Simplify right side
    512,311.01x = 151,216,798,378.86
  5. Step 5: Solve for x
    x = 151,216,798,378.86/512,311.01
  6. Step 6: Final answer
    x = 295,166.01

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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.