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Finding the Fourth Proportional to 488,610.65, 732,896.79 and 204,227.75

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Solution

The fourth proportional to 488,610.65, 732,896.79 and 204,227.75 is: 306,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,610.65 : 732,896.79 = 204,227.75 : x
  2. Step 2: Convert to fraction form
    488,610.65/732,896.79 = 204,227.75/x
  3. Step 3: Cross multiply
    488,610.65x = 732,896.79 × 204,227.75
  4. Step 4: Simplify right side
    488,610.65x = 149,677,858,739.44
  5. Step 5: Solve for x
    x = 149,677,858,739.44/488,610.65
  6. Step 6: Final answer
    x = 306,333.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.