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Finding the Fourth Proportional to 436,562.43, 654,843.81 and 196,395.80

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Solution

The fourth proportional to 436,562.43, 654,843.81 and 196,395.80 is: 294,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,562.43 : 654,843.81 = 196,395.80 : x
  2. Step 2: Convert to fraction form
    436,562.43/654,843.81 = 196,395.80/x
  3. Step 3: Cross multiply
    436,562.43x = 654,843.81 × 196,395.80
  4. Step 4: Simplify right side
    436,562.43x = 128,608,571,172.25
  5. Step 5: Solve for x
    x = 128,608,571,172.25/436,562.43
  6. Step 6: Final answer
    x = 294,593.77

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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.