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Finding the Fourth Proportional to 411,856.74, 568,069.22 and 377,974.66

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Solution

The fourth proportional to 411,856.74, 568,069.22 and 377,974.66 is: 521,336.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,856.74 : 568,069.22 = 377,974.66 : x
  2. Step 2: Convert to fraction form
    411,856.74/568,069.22 = 377,974.66/x
  3. Step 3: Cross multiply
    411,856.74x = 568,069.22 × 377,974.66
  4. Step 4: Simplify right side
    411,856.74x = 214,715,770,285.97
  5. Step 5: Solve for x
    x = 214,715,770,285.97/411,856.74
  6. Step 6: Final answer
    x = 521,336.06

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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.