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Finding the Fourth Proportional to 512,174.70, 768,262.05 and 192,325.95

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Solution

The fourth proportional to 512,174.70, 768,262.05 and 192,325.95 is: 288,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,174.70 : 768,262.05 = 192,325.95 : x
  2. Step 2: Convert to fraction form
    512,174.70/768,262.05 = 192,325.95/x
  3. Step 3: Cross multiply
    512,174.70x = 768,262.05 × 192,325.95
  4. Step 4: Simplify right side
    512,174.70x = 147,756,728,615.20
  5. Step 5: Solve for x
    x = 147,756,728,615.20/512,174.70
  6. Step 6: Final answer
    x = 288,488.93

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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.