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Finding the Fourth Proportional to 323,600.74, 446,584.32 and 180,361.82

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Solution

The fourth proportional to 323,600.74, 446,584.32 and 180,361.82 is: 248,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,600.74 : 446,584.32 = 180,361.82 : x
  2. Step 2: Convert to fraction form
    323,600.74/446,584.32 = 180,361.82/x
  3. Step 3: Cross multiply
    323,600.74x = 446,584.32 × 180,361.82
  4. Step 4: Simplify right side
    323,600.74x = 80,546,760,738.66
  5. Step 5: Solve for x
    x = 80,546,760,738.66/323,600.74
  6. Step 6: Final answer
    x = 248,907.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.