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Finding the Fourth Proportional to 395,864.43, 593,791.62 and 96,345.66

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Solution

The fourth proportional to 395,864.43, 593,791.62 and 96,345.66 is: 144,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,864.43 : 593,791.62 = 96,345.66 : x
  2. Step 2: Convert to fraction form
    395,864.43/593,791.62 = 96,345.66/x
  3. Step 3: Cross multiply
    395,864.43x = 593,791.62 × 96,345.66
  4. Step 4: Simplify right side
    395,864.43x = 57,209,245,531.37
  5. Step 5: Solve for x
    x = 57,209,245,531.37/395,864.43
  6. Step 6: Final answer
    x = 144,517.27

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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.