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Finding the Fourth Proportional to 380,894.97, 570,850.37 and 181,276.55

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Solution

The fourth proportional to 380,894.97, 570,850.37 and 181,276.55 is: 271,680.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,894.97 : 570,850.37 = 181,276.55 : x
  2. Step 2: Convert to fraction form
    380,894.97/570,850.37 = 181,276.55/x
  3. Step 3: Cross multiply
    380,894.97x = 570,850.37 × 181,276.55
  4. Step 4: Simplify right side
    380,894.97x = 103,481,785,639.82
  5. Step 5: Solve for x
    x = 103,481,785,639.82/380,894.97
  6. Step 6: Final answer
    x = 271,680.63

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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.