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Finding the Fourth Proportional to 366,046.28, 505,152.42 and 204,897.32

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Solution

The fourth proportional to 366,046.28, 505,152.42 and 204,897.32 is: 282,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,046.28 : 505,152.42 = 204,897.32 : x
  2. Step 2: Convert to fraction form
    366,046.28/505,152.42 = 204,897.32/x
  3. Step 3: Cross multiply
    366,046.28x = 505,152.42 × 204,897.32
  4. Step 4: Simplify right side
    366,046.28x = 103,504,377,049.51
  5. Step 5: Solve for x
    x = 103,504,377,049.51/366,046.28
  6. Step 6: Final answer
    x = 282,763.09

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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.