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Finding the Fourth Proportional to 610,032.75, 914,414.49 and 204,924.42

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Solution

The fourth proportional to 610,032.75, 914,414.49 and 204,924.42 is: 307,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,032.75 : 914,414.49 = 204,924.42 : x
  2. Step 2: Convert to fraction form
    610,032.75/914,414.49 = 204,924.42/x
  3. Step 3: Cross multiply
    610,032.75x = 914,414.49 × 204,924.42
  4. Step 4: Simplify right side
    610,032.75x = 187,385,859,002.85
  5. Step 5: Solve for x
    x = 187,385,859,002.85/610,032.75
  6. Step 6: Final answer
    x = 307,173.44

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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.