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Finding the Fourth Proportional to 404,446.10, 606,584.10 and 204,578.60

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Solution

The fourth proportional to 404,446.10, 606,584.10 and 204,578.60 is: 306,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,446.10 : 606,584.10 = 204,578.60 : x
  2. Step 2: Convert to fraction form
    404,446.10/606,584.10 = 204,578.60/x
  3. Step 3: Cross multiply
    404,446.10x = 606,584.10 × 204,578.60
  4. Step 4: Simplify right side
    404,446.10x = 124,094,125,960.26
  5. Step 5: Solve for x
    x = 124,094,125,960.26/404,446.10
  6. Step 6: Final answer
    x = 306,824.88

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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.