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Finding the Fourth Proportional to 365,765.61, 504,736.20 and 204,589.56

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Solution

The fourth proportional to 365,765.61, 504,736.20 and 204,589.56 is: 282,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,765.61 : 504,736.20 = 204,589.56 : x
  2. Step 2: Convert to fraction form
    365,765.61/504,736.20 = 204,589.56/x
  3. Step 3: Cross multiply
    365,765.61x = 504,736.20 × 204,589.56
  4. Step 4: Simplify right side
    365,765.61x = 103,263,757,074.07
  5. Step 5: Solve for x
    x = 103,263,757,074.07/365,765.61
  6. Step 6: Final answer
    x = 282,322.21

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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.