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Finding the Fourth Proportional to 323,399.56, 446,291.64 and 180,159.96

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Solution

The fourth proportional to 323,399.56, 446,291.64 and 180,159.96 is: 248,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,399.56 : 446,291.64 = 180,159.96 : x
  2. Step 2: Convert to fraction form
    323,399.56/446,291.64 = 180,159.96/x
  3. Step 3: Cross multiply
    323,399.56x = 446,291.64 × 180,159.96
  4. Step 4: Simplify right side
    323,399.56x = 80,403,884,010.73
  5. Step 5: Solve for x
    x = 80,403,884,010.73/323,399.56
  6. Step 6: Final answer
    x = 248,620.88

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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.