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Finding the Fourth Proportional to 392,706.96, 588,885.48 and 143,214

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Solution

The fourth proportional to 392,706.96, 588,885.48 and 143,214 is: 214,757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,706.96 : 588,885.48 = 143,214 : x
  2. Step 2: Convert to fraction form
    392,706.96/588,885.48 = 143,214/x
  3. Step 3: Cross multiply
    392,706.96x = 588,885.48 × 143,214
  4. Step 4: Simplify right side
    392,706.96x = 84,336,645,132.72
  5. Step 5: Solve for x
    x = 84,336,645,132.72/392,706.96
  6. Step 6: Final answer
    x = 214,757.19

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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.