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Finding the Fourth Proportional to 350,081.40, 523,809.90 and 231,983.40

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Solution

The fourth proportional to 350,081.40, 523,809.90 and 231,983.40 is: 347,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,081.40 : 523,809.90 = 231,983.40 : x
  2. Step 2: Convert to fraction form
    350,081.40/523,809.90 = 231,983.40/x
  3. Step 3: Cross multiply
    350,081.40x = 523,809.90 × 231,983.40
  4. Step 4: Simplify right side
    350,081.40x = 121,515,201,555.66
  5. Step 5: Solve for x
    x = 121,515,201,555.66/350,081.40
  6. Step 6: Final answer
    x = 347,105.56

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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.