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Finding the Fourth Proportional to 393,664.28, 590,509.65 and 127,427

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Solution

The fourth proportional to 393,664.28, 590,509.65 and 127,427 is: 191,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,664.28 : 590,509.65 = 127,427 : x
  2. Step 2: Convert to fraction form
    393,664.28/590,509.65 = 127,427/x
  3. Step 3: Cross multiply
    393,664.28x = 590,509.65 × 127,427
  4. Step 4: Simplify right side
    393,664.28x = 75,246,873,170.55
  5. Step 5: Solve for x
    x = 75,246,873,170.55/393,664.28
  6. Step 6: Final answer
    x = 191,144.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.