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Finding the Fourth Proportional to 323,403.56, 446,297.16 and 180,163.96

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Solution

The fourth proportional to 323,403.56, 446,297.16 and 180,163.96 is: 248,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,403.56 : 446,297.16 = 180,163.96 : x
  2. Step 2: Convert to fraction form
    323,403.56/446,297.16 = 180,163.96/x
  3. Step 3: Cross multiply
    323,403.56x = 446,297.16 × 180,163.96
  4. Step 4: Simplify right side
    323,403.56x = 80,406,663,682.35
  5. Step 5: Solve for x
    x = 80,406,663,682.35/323,403.56
  6. Step 6: Final answer
    x = 248,626.40

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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.