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Finding the Fourth Proportional to 496,233.50, 684,802.24 and 269,883.86

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Solution

The fourth proportional to 496,233.50, 684,802.24 and 269,883.86 is: 372,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,233.50 : 684,802.24 = 269,883.86 : x
  2. Step 2: Convert to fraction form
    496,233.50/684,802.24 = 269,883.86/x
  3. Step 3: Cross multiply
    496,233.50x = 684,802.24 × 269,883.86
  4. Step 4: Simplify right side
    496,233.50x = 184,817,071,867.85
  5. Step 5: Solve for x
    x = 184,817,071,867.85/496,233.50
  6. Step 6: Final answer
    x = 372,439.73

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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.