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Finding the Fourth Proportional to 392,348.58, 588,528.34 and 111,865.83

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Solution

The fourth proportional to 392,348.58, 588,528.34 and 111,865.83 is: 167,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,348.58 : 588,528.34 = 111,865.83 : x
  2. Step 2: Convert to fraction form
    392,348.58/588,528.34 = 111,865.83/x
  3. Step 3: Cross multiply
    392,348.58x = 588,528.34 × 111,865.83
  4. Step 4: Simplify right side
    392,348.58x = 65,836,209,481.64
  5. Step 5: Solve for x
    x = 65,836,209,481.64/392,348.58
  6. Step 6: Final answer
    x = 167,800.30

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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.