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Finding the Fourth Proportional to 433,471.80, 650,309.22 and 180,917.40

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Solution

The fourth proportional to 433,471.80, 650,309.22 and 180,917.40 is: 271,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,471.80 : 650,309.22 = 180,917.40 : x
  2. Step 2: Convert to fraction form
    433,471.80/650,309.22 = 180,917.40/x
  3. Step 3: Cross multiply
    433,471.80x = 650,309.22 × 180,917.40
  4. Step 4: Simplify right side
    433,471.80x = 117,652,253,278.43
  5. Step 5: Solve for x
    x = 117,652,253,278.43/433,471.80
  6. Step 6: Final answer
    x = 271,418.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.