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Finding the Fourth Proportional to 512,329.84, 768,478.35 and 231,847.09

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Solution

The fourth proportional to 512,329.84, 768,478.35 and 231,847.09 is: 347,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,329.84 : 768,478.35 = 231,847.09 : x
  2. Step 2: Convert to fraction form
    512,329.84/768,478.35 = 231,847.09/x
  3. Step 3: Cross multiply
    512,329.84x = 768,478.35 × 231,847.09
  4. Step 4: Simplify right side
    512,329.84x = 178,169,469,175.50
  5. Step 5: Solve for x
    x = 178,169,469,175.50/512,329.84
  6. Step 6: Final answer
    x = 347,763.21

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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.