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Finding the Fourth Proportional to 343,849.20, 515,773.80 and 231,874.80

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Solution

The fourth proportional to 343,849.20, 515,773.80 and 231,874.80 is: 347,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,849.20 : 515,773.80 = 231,874.80 : x
  2. Step 2: Convert to fraction form
    343,849.20/515,773.80 = 231,874.80/x
  3. Step 3: Cross multiply
    343,849.20x = 515,773.80 × 231,874.80
  4. Step 4: Simplify right side
    343,849.20x = 119,594,946,720.24
  5. Step 5: Solve for x
    x = 119,594,946,720.24/343,849.20
  6. Step 6: Final answer
    x = 347,812.20

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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.