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Finding the Fourth Proportional to 365,809.44, 504,836.60 and 204,654.84

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Solution

The fourth proportional to 365,809.44, 504,836.60 and 204,654.84 is: 282,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,809.44 : 504,836.60 = 204,654.84 : x
  2. Step 2: Convert to fraction form
    365,809.44/504,836.60 = 204,654.84/x
  3. Step 3: Cross multiply
    365,809.44x = 504,836.60 × 204,654.84
  4. Step 4: Simplify right side
    365,809.44x = 103,317,253,599.14
  5. Step 5: Solve for x
    x = 103,317,253,599.14/365,809.44
  6. Step 6: Final answer
    x = 282,434.63

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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.