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Finding the Fourth Proportional to 392,231.21, 587,790.59 and 164,281.23

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Solution

The fourth proportional to 392,231.21, 587,790.59 and 164,281.23 is: 246,188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,231.21 : 587,790.59 = 164,281.23 : x
  2. Step 2: Convert to fraction form
    392,231.21/587,790.59 = 164,281.23/x
  3. Step 3: Cross multiply
    392,231.21x = 587,790.59 × 164,281.23
  4. Step 4: Simplify right side
    392,231.21x = 96,562,960,286.22
  5. Step 5: Solve for x
    x = 96,562,960,286.22/392,231.21
  6. Step 6: Final answer
    x = 246,188.88

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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.