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Finding the Fourth Proportional to 412,418.47, 617,822.26 and 195,969.26

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Solution

The fourth proportional to 412,418.47, 617,822.26 and 195,969.26 is: 293,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,418.47 : 617,822.26 = 195,969.26 : x
  2. Step 2: Convert to fraction form
    412,418.47/617,822.26 = 195,969.26/x
  3. Step 3: Cross multiply
    412,418.47x = 617,822.26 × 195,969.26
  4. Step 4: Simplify right side
    412,418.47x = 121,074,167,034.77
  5. Step 5: Solve for x
    x = 121,074,167,034.77/412,418.47
  6. Step 6: Final answer
    x = 293,571.16

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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.