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Finding the Fourth Proportional to 512,023.20, 768,123.96 and 175,097.56

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Solution

The fourth proportional to 512,023.20, 768,123.96 and 175,097.56 is: 262,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,023.20 : 768,123.96 = 175,097.56 : x
  2. Step 2: Convert to fraction form
    512,023.20/768,123.96 = 175,097.56/x
  3. Step 3: Cross multiply
    512,023.20x = 768,123.96 × 175,097.56
  4. Step 4: Simplify right side
    512,023.20x = 134,496,631,173.54
  5. Step 5: Solve for x
    x = 134,496,631,173.54/512,023.20
  6. Step 6: Final answer
    x = 262,676.83

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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.