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Finding the Fourth Proportional to 412,040.87, 568,603.11 and 228,271.88

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Solution

The fourth proportional to 412,040.87, 568,603.11 and 228,271.88 is: 315,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,040.87 : 568,603.11 = 228,271.88 : x
  2. Step 2: Convert to fraction form
    412,040.87/568,603.11 = 228,271.88/x
  3. Step 3: Cross multiply
    412,040.87x = 568,603.11 × 228,271.88
  4. Step 4: Simplify right side
    412,040.87x = 129,796,100,893.55
  5. Step 5: Solve for x
    x = 129,796,100,893.55/412,040.87
  6. Step 6: Final answer
    x = 315,007.83

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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.