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Finding the Fourth Proportional to 331,462.80, 457,418.52 and 180,559.80

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Solution

The fourth proportional to 331,462.80, 457,418.52 and 180,559.80 is: 249,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,462.80 : 457,418.52 = 180,559.80 : x
  2. Step 2: Convert to fraction form
    331,462.80/457,418.52 = 180,559.80/x
  3. Step 3: Cross multiply
    331,462.80x = 457,418.52 × 180,559.80
  4. Step 4: Simplify right side
    331,462.80x = 82,591,396,487.50
  5. Step 5: Solve for x
    x = 82,591,396,487.50/331,462.80
  6. Step 6: Final answer
    x = 249,172.45

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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.