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Finding the Fourth Proportional to 365,735.25, 504,724.77 and 204,618.15

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Solution

The fourth proportional to 365,735.25, 504,724.77 and 204,618.15 is: 282,378.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,735.25 : 504,724.77 = 204,618.15 : x
  2. Step 2: Convert to fraction form
    365,735.25/504,724.77 = 204,618.15/x
  3. Step 3: Cross multiply
    365,735.25x = 504,724.77 × 204,618.15
  4. Step 4: Simplify right side
    365,735.25x = 103,275,848,696.58
  5. Step 5: Solve for x
    x = 103,275,848,696.58/365,735.25
  6. Step 6: Final answer
    x = 282,378.71

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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.