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Finding the Fourth Proportional to 584,093.62, 806,414.09 and 447,865.86

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Solution

The fourth proportional to 584,093.62, 806,414.09 and 447,865.86 is: 618,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,093.62 : 806,414.09 = 447,865.86 : x
  2. Step 2: Convert to fraction form
    584,093.62/806,414.09 = 447,865.86/x
  3. Step 3: Cross multiply
    584,093.62x = 806,414.09 × 447,865.86
  4. Step 4: Simplify right side
    584,093.62x = 361,165,339,933.97
  5. Step 5: Solve for x
    x = 361,165,339,933.97/584,093.62
  6. Step 6: Final answer
    x = 618,334.68

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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.