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Finding the Fourth Proportional to 431,633.72, 647,576.94 and 221,418.20

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Solution

The fourth proportional to 431,633.72, 647,576.94 and 221,418.20 is: 332,192.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,633.72 : 647,576.94 = 221,418.20 : x
  2. Step 2: Convert to fraction form
    431,633.72/647,576.94 = 221,418.20/x
  3. Step 3: Cross multiply
    431,633.72x = 647,576.94 × 221,418.20
  4. Step 4: Simplify right side
    431,633.72x = 143,385,320,416.31
  5. Step 5: Solve for x
    x = 143,385,320,416.31/431,633.72
  6. Step 6: Final answer
    x = 332,192.12

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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.