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Finding the Fourth Proportional to 512,266.40, 768,392.40 and 231,783.20

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Solution

The fourth proportional to 512,266.40, 768,392.40 and 231,783.20 is: 347,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,266.40 : 768,392.40 = 231,783.20 : x
  2. Step 2: Convert to fraction form
    512,266.40/768,392.40 = 231,783.20/x
  3. Step 3: Cross multiply
    512,266.40x = 768,392.40 × 231,783.20
  4. Step 4: Simplify right side
    512,266.40x = 178,100,449,327.68
  5. Step 5: Solve for x
    x = 178,100,449,327.68/512,266.40
  6. Step 6: Final answer
    x = 347,671.54

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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.