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Finding the Fourth Proportional to 411,622.57, 568,024.86 and 227,869.12

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Solution

The fourth proportional to 411,622.57, 568,024.86 and 227,869.12 is: 314,451.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,622.57 : 568,024.86 = 227,869.12 : x
  2. Step 2: Convert to fraction form
    411,622.57/568,024.86 = 227,869.12/x
  3. Step 3: Cross multiply
    411,622.57x = 568,024.86 × 227,869.12
  4. Step 4: Simplify right side
    411,622.57x = 129,435,324,986.32
  5. Step 5: Solve for x
    x = 129,435,324,986.32/411,622.57
  6. Step 6: Final answer
    x = 314,451.48

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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.