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Finding the Fourth Proportional to 393,778.58, 590,761.96 and 127,539.41

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Solution

The fourth proportional to 393,778.58, 590,761.96 and 127,539.41 is: 191,339.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,778.58 : 590,761.96 = 127,539.41 : x
  2. Step 2: Convert to fraction form
    393,778.58/590,761.96 = 127,539.41/x
  3. Step 3: Cross multiply
    393,778.58x = 590,761.96 × 127,539.41
  4. Step 4: Simplify right side
    393,778.58x = 75,345,428,556.19
  5. Step 5: Solve for x
    x = 75,345,428,556.19/393,778.58
  6. Step 6: Final answer
    x = 191,339.58

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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.