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Finding the Fourth Proportional to 393,970.43, 591,042.02 and 127,757.86

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Solution

The fourth proportional to 393,970.43, 591,042.02 and 127,757.86 is: 191,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,970.43 : 591,042.02 = 127,757.86 : x
  2. Step 2: Convert to fraction form
    393,970.43/591,042.02 = 127,757.86/x
  3. Step 3: Cross multiply
    393,970.43x = 591,042.02 × 127,757.86
  4. Step 4: Simplify right side
    393,970.43x = 75,510,261,528.88
  5. Step 5: Solve for x
    x = 75,510,261,528.88/393,970.43
  6. Step 6: Final answer
    x = 191,664.79

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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.