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Finding the Fourth Proportional to 323,297.75, 446,164.76 and 180,057.83

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Solution

The fourth proportional to 323,297.75, 446,164.76 and 180,057.83 is: 248,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,297.75 : 446,164.76 = 180,057.83 : x
  2. Step 2: Convert to fraction form
    323,297.75/446,164.76 = 180,057.83/x
  3. Step 3: Cross multiply
    323,297.75x = 446,164.76 × 180,057.83
  4. Step 4: Simplify right side
    323,297.75x = 80,335,455,376.96
  5. Step 5: Solve for x
    x = 80,335,455,376.96/323,297.75
  6. Step 6: Final answer
    x = 248,487.52

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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.