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Finding the Fourth Proportional to 365,806.43, 504,832.47 and 204,651.86

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Solution

The fourth proportional to 365,806.43, 504,832.47 and 204,651.86 is: 282,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,806.43 : 504,832.47 = 204,651.86 : x
  2. Step 2: Convert to fraction form
    365,806.43/504,832.47 = 204,651.86/x
  3. Step 3: Cross multiply
    365,806.43x = 504,832.47 × 204,651.86
  4. Step 4: Simplify right side
    365,806.43x = 103,314,901,449.73
  5. Step 5: Solve for x
    x = 103,314,901,449.73/365,806.43
  6. Step 6: Final answer
    x = 282,430.53

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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.