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Finding the Fourth Proportional to 431,450.88, 647,175.84 and 200,616.96

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Solution

The fourth proportional to 431,450.88, 647,175.84 and 200,616.96 is: 300,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,450.88 : 647,175.84 = 200,616.96 : x
  2. Step 2: Convert to fraction form
    431,450.88/647,175.84 = 200,616.96/x
  3. Step 3: Cross multiply
    431,450.88x = 647,175.84 × 200,616.96
  4. Step 4: Simplify right side
    431,450.88x = 129,834,449,606.25
  5. Step 5: Solve for x
    x = 129,834,449,606.25/431,450.88
  6. Step 6: Final answer
    x = 300,925.22

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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.