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Finding the Fourth Proportional to 366,085.44, 505,206.40 and 204,936.32

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Solution

The fourth proportional to 366,085.44, 505,206.40 and 204,936.32 is: 282,816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,085.44 : 505,206.40 = 204,936.32 : x
  2. Step 2: Convert to fraction form
    366,085.44/505,206.40 = 204,936.32/x
  3. Step 3: Cross multiply
    366,085.44x = 505,206.40 × 204,936.32
  4. Step 4: Simplify right side
    366,085.44x = 103,535,140,456.45
  5. Step 5: Solve for x
    x = 103,535,140,456.45/366,085.44
  6. Step 6: Final answer
    x = 282,816.88

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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.