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Finding the Fourth Proportional to 498,385.50, 747,571.20 and 231,997.02

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Solution

The fourth proportional to 498,385.50, 747,571.20 and 231,997.02 is: 347,992.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,385.50 : 747,571.20 = 231,997.02 : x
  2. Step 2: Convert to fraction form
    498,385.50/747,571.20 = 231,997.02/x
  3. Step 3: Cross multiply
    498,385.50x = 747,571.20 × 231,997.02
  4. Step 4: Simplify right side
    498,385.50x = 173,434,290,637.82
  5. Step 5: Solve for x
    x = 173,434,290,637.82/498,385.50
  6. Step 6: Final answer
    x = 347,992.25

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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.