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Finding the Fourth Proportional to 393,713.57, 590,664.21 and 127,474.16

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Solution

The fourth proportional to 393,713.57, 590,664.21 and 127,474.16 is: 191,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,713.57 : 590,664.21 = 127,474.16 : x
  2. Step 2: Convert to fraction form
    393,713.57/590,664.21 = 127,474.16/x
  3. Step 3: Cross multiply
    393,713.57x = 590,664.21 × 127,474.16
  4. Step 4: Simplify right side
    393,713.57x = 75,294,422,216.47
  5. Step 5: Solve for x
    x = 75,294,422,216.47/393,713.57
  6. Step 6: Final answer
    x = 191,241.63

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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.