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Finding the Fourth Proportional to 394,051.88, 591,022.41 and 127,814.72

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Solution

The fourth proportional to 394,051.88, 591,022.41 and 127,814.72 is: 191,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,051.88 : 591,022.41 = 127,814.72 : x
  2. Step 2: Convert to fraction form
    394,051.88/591,022.41 = 127,814.72/x
  3. Step 3: Cross multiply
    394,051.88x = 591,022.41 × 127,814.72
  4. Step 4: Simplify right side
    394,051.88x = 75,541,360,892.76
  5. Step 5: Solve for x
    x = 75,541,360,892.76/394,051.88
  6. Step 6: Final answer
    x = 191,704.10

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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.