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Finding the Fourth Proportional to 404,163.40, 606,223.26 and 123,680.68

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Solution

The fourth proportional to 404,163.40, 606,223.26 and 123,680.68 is: 185,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,163.40 : 606,223.26 = 123,680.68 : x
  2. Step 2: Convert to fraction form
    404,163.40/606,223.26 = 123,680.68/x
  3. Step 3: Cross multiply
    404,163.40x = 606,223.26 × 123,680.68
  4. Step 4: Simplify right side
    404,163.40x = 74,978,105,028.62
  5. Step 5: Solve for x
    x = 74,978,105,028.62/404,163.40
  6. Step 6: Final answer
    x = 185,514.34

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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.