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Finding the Fourth Proportional to 392,233.21, 587,793.58 and 164,283.23

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Solution

The fourth proportional to 392,233.21, 587,793.58 and 164,283.23 is: 246,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,233.21 : 587,793.58 = 164,283.23 : x
  2. Step 2: Convert to fraction form
    392,233.21/587,793.58 = 164,283.23/x
  3. Step 3: Cross multiply
    392,233.21x = 587,793.58 × 164,283.23
  4. Step 4: Simplify right side
    392,233.21x = 96,564,627,895.66
  5. Step 5: Solve for x
    x = 96,564,627,895.66/392,233.21
  6. Step 6: Final answer
    x = 246,191.87

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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.