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Finding the Fourth Proportional to 323,369.47, 446,249.55 and 180,163.90

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Solution

The fourth proportional to 323,369.47, 446,249.55 and 180,163.90 is: 248,626.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,369.47 : 446,249.55 = 180,163.90 : x
  2. Step 2: Convert to fraction form
    323,369.47/446,249.55 = 180,163.90/x
  3. Step 3: Cross multiply
    323,369.47x = 446,249.55 × 180,163.90
  4. Step 4: Simplify right side
    323,369.47x = 80,398,059,301.25
  5. Step 5: Solve for x
    x = 80,398,059,301.25/323,369.47
  6. Step 6: Final answer
    x = 248,626.00

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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.