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Finding the Fourth Proportional to 411,822.53, 568,022.11 and 377,940.43

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Solution

The fourth proportional to 411,822.53, 568,022.11 and 377,940.43 is: 521,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,822.53 : 568,022.11 = 377,940.43 : x
  2. Step 2: Convert to fraction form
    411,822.53/568,022.11 = 377,940.43/x
  3. Step 3: Cross multiply
    411,822.53x = 568,022.11 × 377,940.43
  4. Step 4: Simplify right side
    411,822.53x = 214,678,520,502.91
  5. Step 5: Solve for x
    x = 214,678,520,502.91/411,822.53
  6. Step 6: Final answer
    x = 521,288.92

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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.