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Finding the Fourth Proportional to 365,955.26, 505,040.50 and 204,806.96

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Solution

The fourth proportional to 365,955.26, 505,040.50 and 204,806.96 is: 282,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,955.26 : 505,040.50 = 204,806.96 : x
  2. Step 2: Convert to fraction form
    365,955.26/505,040.50 = 204,806.96/x
  3. Step 3: Cross multiply
    365,955.26x = 505,040.50 × 204,806.96
  4. Step 4: Simplify right side
    365,955.26x = 103,435,809,481.88
  5. Step 5: Solve for x
    x = 103,435,809,481.88/365,955.26
  6. Step 6: Final answer
    x = 282,646.05

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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.