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Finding the Fourth Proportional to 441,243.07, 661,930.22 and 204,609.67

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Solution

The fourth proportional to 441,243.07, 661,930.22 and 204,609.67 is: 306,944.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,243.07 : 661,930.22 = 204,609.67 : x
  2. Step 2: Convert to fraction form
    441,243.07/661,930.22 = 204,609.67/x
  3. Step 3: Cross multiply
    441,243.07x = 661,930.22 × 204,609.67
  4. Step 4: Simplify right side
    441,243.07x = 135,437,322,854.18
  5. Step 5: Solve for x
    x = 135,437,322,854.18/441,243.07
  6. Step 6: Final answer
    x = 306,944.93

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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.