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Finding the Fourth Proportional to 323,297.65, 446,164.55 and 180,057.70

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Solution

The fourth proportional to 323,297.65, 446,164.55 and 180,057.70 is: 248,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,297.65 : 446,164.55 = 180,057.70 : x
  2. Step 2: Convert to fraction form
    323,297.65/446,164.55 = 180,057.70/x
  3. Step 3: Cross multiply
    323,297.65x = 446,164.55 × 180,057.70
  4. Step 4: Simplify right side
    323,297.65x = 80,335,362,694.54
  5. Step 5: Solve for x
    x = 80,335,362,694.54/323,297.65
  6. Step 6: Final answer
    x = 248,487.31

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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.