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Finding the Fourth Proportional to 512,093.50, 768,177.15 and 196,550.40

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Solution

The fourth proportional to 512,093.50, 768,177.15 and 196,550.40 is: 294,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,093.50 : 768,177.15 = 196,550.40 : x
  2. Step 2: Convert to fraction form
    512,093.50/768,177.15 = 196,550.40/x
  3. Step 3: Cross multiply
    512,093.50x = 768,177.15 × 196,550.40
  4. Step 4: Simplify right side
    512,093.50x = 150,985,528,272.31
  5. Step 5: Solve for x
    x = 150,985,528,272.31/512,093.50
  6. Step 6: Final answer
    x = 294,839.77

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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.