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Finding the Fourth Proportional to 394,051.94, 591,160.93 and 127,791.69

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Solution

The fourth proportional to 394,051.94, 591,160.93 and 127,791.69 is: 191,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,051.94 : 591,160.93 = 127,791.69 : x
  2. Step 2: Convert to fraction form
    394,051.94/591,160.93 = 127,791.69/x
  3. Step 3: Cross multiply
    394,051.94x = 591,160.93 × 127,791.69
  4. Step 4: Simplify right side
    394,051.94x = 75,545,455,814.45
  5. Step 5: Solve for x
    x = 75,545,455,814.45/394,051.94
  6. Step 6: Final answer
    x = 191,714.46

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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.