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Finding the Fourth Proportional to 345,593, 476,942.82 and 194,690

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Solution

The fourth proportional to 345,593, 476,942.82 and 194,690 is: 268,685.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,593 : 476,942.82 = 194,690 : x
  2. Step 2: Convert to fraction form
    345,593/476,942.82 = 194,690/x
  3. Step 3: Cross multiply
    345,593x = 476,942.82 × 194,690
  4. Step 4: Simplify right side
    345,593x = 92,855,997,625.80
  5. Step 5: Solve for x
    x = 92,855,997,625.80/345,593
  6. Step 6: Final answer
    x = 268,685.99

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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.