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Finding the Fourth Proportional to 392,686.80, 588,724.02 and 182,297.40

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Solution

The fourth proportional to 392,686.80, 588,724.02 and 182,297.40 is: 273,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,686.80 : 588,724.02 = 182,297.40 : x
  2. Step 2: Convert to fraction form
    392,686.80/588,724.02 = 182,297.40/x
  3. Step 3: Cross multiply
    392,686.80x = 588,724.02 × 182,297.40
  4. Step 4: Simplify right side
    392,686.80x = 107,322,858,163.55
  5. Step 5: Solve for x
    x = 107,322,858,163.55/392,686.80
  6. Step 6: Final answer
    x = 273,303.96

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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.