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Finding the Fourth Proportional to 392,209.96, 588,323.14 and 111,727.22

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Solution

The fourth proportional to 392,209.96, 588,323.14 and 111,727.22 is: 167,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,209.96 : 588,323.14 = 111,727.22 : x
  2. Step 2: Convert to fraction form
    392,209.96/588,323.14 = 111,727.22/x
  3. Step 3: Cross multiply
    392,209.96x = 588,323.14 × 111,727.22
  4. Step 4: Simplify right side
    392,209.96x = 65,731,708,893.87
  5. Step 5: Solve for x
    x = 65,731,708,893.87/392,209.96
  6. Step 6: Final answer
    x = 167,593.17

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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.