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Finding the Fourth Proportional to 496,246.80, 684,800.82 and 269,892.48

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Solution

The fourth proportional to 496,246.80, 684,800.82 and 269,892.48 is: 372,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,246.80 : 684,800.82 = 269,892.48 : x
  2. Step 2: Convert to fraction form
    496,246.80/684,800.82 = 269,892.48/x
  3. Step 3: Cross multiply
    496,246.80x = 684,800.82 × 269,892.48
  4. Step 4: Simplify right side
    496,246.80x = 184,822,591,615.83
  5. Step 5: Solve for x
    x = 184,822,591,615.83/496,246.80
  6. Step 6: Final answer
    x = 372,440.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.