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Finding the Fourth Proportional to 392,465.25, 588,703.55 and 111,982.50

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Solution

The fourth proportional to 392,465.25, 588,703.55 and 111,982.50 is: 167,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,465.25 : 588,703.55 = 111,982.50 : x
  2. Step 2: Convert to fraction form
    392,465.25/588,703.55 = 111,982.50/x
  3. Step 3: Cross multiply
    392,465.25x = 588,703.55 × 111,982.50
  4. Step 4: Simplify right side
    392,465.25x = 65,924,494,727.96
  5. Step 5: Solve for x
    x = 65,924,494,727.96/392,465.25
  6. Step 6: Final answer
    x = 167,975.37

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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.