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Finding the Fourth Proportional to 323,402.56, 446,295.78 and 180,162.96

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Solution

The fourth proportional to 323,402.56, 446,295.78 and 180,162.96 is: 248,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,402.56 : 446,295.78 = 180,162.96 : x
  2. Step 2: Convert to fraction form
    323,402.56/446,295.78 = 180,162.96/x
  3. Step 3: Cross multiply
    323,402.56x = 446,295.78 × 180,162.96
  4. Step 4: Simplify right side
    323,402.56x = 80,405,968,760.31
  5. Step 5: Solve for x
    x = 80,405,968,760.31/323,402.56
  6. Step 6: Final answer
    x = 248,625.02

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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.