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Finding the Fourth Proportional to 277,759.71, 416,553.62 and 100,244.25

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Solution

The fourth proportional to 277,759.71, 416,553.62 and 100,244.25 is: 150,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,759.71 : 416,553.62 = 100,244.25 : x
  2. Step 2: Convert to fraction form
    277,759.71/416,553.62 = 100,244.25/x
  3. Step 3: Cross multiply
    277,759.71x = 416,553.62 × 100,244.25
  4. Step 4: Simplify right side
    277,759.71x = 41,757,104,720.46
  5. Step 5: Solve for x
    x = 41,757,104,720.46/277,759.71
  6. Step 6: Final answer
    x = 150,335.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.