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Finding the Fourth Proportional to 392,433.30, 588,693.15 and 143,169.30

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Solution

The fourth proportional to 392,433.30, 588,693.15 and 143,169.30 is: 214,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,433.30 : 588,693.15 = 143,169.30 : x
  2. Step 2: Convert to fraction form
    392,433.30/588,693.15 = 143,169.30/x
  3. Step 3: Cross multiply
    392,433.30x = 588,693.15 × 143,169.30
  4. Step 4: Simplify right side
    392,433.30x = 84,282,786,200.30
  5. Step 5: Solve for x
    x = 84,282,786,200.30/392,433.30
  6. Step 6: Final answer
    x = 214,769.71

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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.