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Finding the Fourth Proportional to 386,964.97, 533,993.71 and 214,893.86

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Solution

The fourth proportional to 386,964.97, 533,993.71 and 214,893.86 is: 296,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,964.97 : 533,993.71 = 214,893.86 : x
  2. Step 2: Convert to fraction form
    386,964.97/533,993.71 = 214,893.86/x
  3. Step 3: Cross multiply
    386,964.97x = 533,993.71 × 214,893.86
  4. Step 4: Simplify right side
    386,964.97x = 114,751,969,557.62
  5. Step 5: Solve for x
    x = 114,751,969,557.62/386,964.97
  6. Step 6: Final answer
    x = 296,543.56

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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.