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Finding the Fourth Proportional to 323,380.51, 446,236.16 and 180,137.48

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Solution

The fourth proportional to 323,380.51, 446,236.16 and 180,137.48 is: 248,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,380.51 : 446,236.16 = 180,137.48 : x
  2. Step 2: Convert to fraction form
    323,380.51/446,236.16 = 180,137.48/x
  3. Step 3: Cross multiply
    323,380.51x = 446,236.16 × 180,137.48
  4. Step 4: Simplify right side
    323,380.51x = 80,383,856,446.59
  5. Step 5: Solve for x
    x = 80,383,856,446.59/323,380.51
  6. Step 6: Final answer
    x = 248,573.60

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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.