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Finding the Fourth Proportional to 512,092.01, 768,291.77 and 242,425.67

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Solution

The fourth proportional to 512,092.01, 768,291.77 and 242,425.67 is: 363,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,092.01 : 768,291.77 = 242,425.67 : x
  2. Step 2: Convert to fraction form
    512,092.01/768,291.77 = 242,425.67/x
  3. Step 3: Cross multiply
    512,092.01x = 768,291.77 × 242,425.67
  4. Step 4: Simplify right side
    512,092.01x = 186,253,647,097.74
  5. Step 5: Solve for x
    x = 186,253,647,097.74/512,092.01
  6. Step 6: Final answer
    x = 363,711.29

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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.