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Finding the Fourth Proportional to 338,951.28, 467,772.24 and 204,858.48

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Solution

The fourth proportional to 338,951.28, 467,772.24 and 204,858.48 is: 282,716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,951.28 : 467,772.24 = 204,858.48 : x
  2. Step 2: Convert to fraction form
    338,951.28/467,772.24 = 204,858.48/x
  3. Step 3: Cross multiply
    338,951.28x = 467,772.24 × 204,858.48
  4. Step 4: Simplify right side
    338,951.28x = 95,827,110,072.60
  5. Step 5: Solve for x
    x = 95,827,110,072.60/338,951.28
  6. Step 6: Final answer
    x = 282,716.47

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1.5x scale

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.