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Finding the Fourth Proportional to 412,216.61, 568,829.25 and 230,897.88

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Solution

The fourth proportional to 412,216.61, 568,829.25 and 230,897.88 is: 318,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,216.61 : 568,829.25 = 230,897.88 : x
  2. Step 2: Convert to fraction form
    412,216.61/568,829.25 = 230,897.88/x
  3. Step 3: Cross multiply
    412,216.61x = 568,829.25 × 230,897.88
  4. Step 4: Simplify right side
    412,216.61x = 131,341,467,906.99
  5. Step 5: Solve for x
    x = 131,341,467,906.99/412,216.61
  6. Step 6: Final answer
    x = 318,622.46

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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.