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Finding the Fourth Proportional to 512,912.80, 769,369.20 and 419,600.80

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Solution

The fourth proportional to 512,912.80, 769,369.20 and 419,600.80 is: 629,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,912.80 : 769,369.20 = 419,600.80 : x
  2. Step 2: Convert to fraction form
    512,912.80/769,369.20 = 419,600.80/x
  3. Step 3: Cross multiply
    512,912.80x = 769,369.20 × 419,600.80
  4. Step 4: Simplify right side
    512,912.80x = 322,827,931,815.36
  5. Step 5: Solve for x
    x = 322,827,931,815.36/512,912.80
  6. Step 6: Final answer
    x = 629,401.20

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1.5x scale

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.