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Finding the Fourth Proportional to 323,887.43, 446,965.29 and 180,656.75

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Solution

The fourth proportional to 323,887.43, 446,965.29 and 180,656.75 is: 249,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,887.43 : 446,965.29 = 180,656.75 : x
  2. Step 2: Convert to fraction form
    323,887.43/446,965.29 = 180,656.75/x
  3. Step 3: Cross multiply
    323,887.43x = 446,965.29 × 180,656.75
  4. Step 4: Simplify right side
    323,887.43x = 80,747,297,771.62
  5. Step 5: Solve for x
    x = 80,747,297,771.62/323,887.43
  6. Step 6: Final answer
    x = 249,306.67

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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.