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Finding the Fourth Proportional to 323,605.90, 446,578.22 and 180,375.03

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Solution

The fourth proportional to 323,605.90, 446,578.22 and 180,375.03 is: 248,918.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,605.90 : 446,578.22 = 180,375.03 : x
  2. Step 2: Convert to fraction form
    323,605.90/446,578.22 = 180,375.03/x
  3. Step 3: Cross multiply
    323,605.90x = 446,578.22 × 180,375.03
  4. Step 4: Simplify right side
    323,605.90x = 80,551,556,695.08
  5. Step 5: Solve for x
    x = 80,551,556,695.08/323,605.90
  6. Step 6: Final answer
    x = 248,918.69

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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.