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Finding the Fourth Proportional to 409,866.67, 565,629.29 and 228,586.24

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Solution

The fourth proportional to 409,866.67, 565,629.29 and 228,586.24 is: 315,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,866.67 : 565,629.29 = 228,586.24 : x
  2. Step 2: Convert to fraction form
    409,866.67/565,629.29 = 228,586.24/x
  3. Step 3: Cross multiply
    409,866.67x = 565,629.29 × 228,586.24
  4. Step 4: Simplify right side
    409,866.67x = 129,295,072,634.97
  5. Step 5: Solve for x
    x = 129,295,072,634.97/409,866.67
  6. Step 6: Final answer
    x = 315,456.42

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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.