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Finding the Fourth Proportional to 365,809.69, 504,836.99 and 204,655.11

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Solution

The fourth proportional to 365,809.69, 504,836.99 and 204,655.11 is: 282,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,809.69 : 504,836.99 = 204,655.11 : x
  2. Step 2: Convert to fraction form
    365,809.69/504,836.99 = 204,655.11/x
  3. Step 3: Cross multiply
    365,809.69x = 504,836.99 × 204,655.11
  4. Step 4: Simplify right side
    365,809.69x = 103,317,469,720.52
  5. Step 5: Solve for x
    x = 103,317,469,720.52/365,809.69
  6. Step 6: Final answer
    x = 282,435.03

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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.