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Finding the Fourth Proportional to 413,738.22, 620,607.36 and 133,255.48

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Solution

The fourth proportional to 413,738.22, 620,607.36 and 133,255.48 is: 199,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,738.22 : 620,607.36 = 133,255.48 : x
  2. Step 2: Convert to fraction form
    413,738.22/620,607.36 = 133,255.48/x
  3. Step 3: Cross multiply
    413,738.22x = 620,607.36 × 133,255.48
  4. Step 4: Simplify right side
    413,738.22x = 82,699,331,648.33
  5. Step 5: Solve for x
    x = 82,699,331,648.33/413,738.22
  6. Step 6: Final answer
    x = 199,883.23

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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.