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Finding the Fourth Proportional to 512,661.48, 769,100.36 and 192,816.38

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Solution

The fourth proportional to 512,661.48, 769,100.36 and 192,816.38 is: 289,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,661.48 : 769,100.36 = 192,816.38 : x
  2. Step 2: Convert to fraction form
    512,661.48/769,100.36 = 192,816.38/x
  3. Step 3: Cross multiply
    512,661.48x = 769,100.36 × 192,816.38
  4. Step 4: Simplify right side
    512,661.48x = 148,295,147,271.90
  5. Step 5: Solve for x
    x = 148,295,147,271.90/512,661.48
  6. Step 6: Final answer
    x = 289,265.24

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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.