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Finding the Fourth Proportional to 395,881.59, 593,814.06 and 96,363.84

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Solution

The fourth proportional to 395,881.59, 593,814.06 and 96,363.84 is: 144,543.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,881.59 : 593,814.06 = 96,363.84 : x
  2. Step 2: Convert to fraction form
    395,881.59/593,814.06 = 96,363.84/x
  3. Step 3: Cross multiply
    395,881.59x = 593,814.06 × 96,363.84
  4. Step 4: Simplify right side
    395,881.59x = 57,222,203,067.59
  5. Step 5: Solve for x
    x = 57,222,203,067.59/395,881.59
  6. Step 6: Final answer
    x = 144,543.73

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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.