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Finding the Fourth Proportional to 496,033.92, 684,523.44 and 269,679.42

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Solution

The fourth proportional to 496,033.92, 684,523.44 and 269,679.42 is: 372,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,033.92 : 684,523.44 = 269,679.42 : x
  2. Step 2: Convert to fraction form
    496,033.92/684,523.44 = 269,679.42/x
  3. Step 3: Cross multiply
    496,033.92x = 684,523.44 × 269,679.42
  4. Step 4: Simplify right side
    496,033.92x = 184,601,884,275.61
  5. Step 5: Solve for x
    x = 184,601,884,275.61/496,033.92
  6. Step 6: Final answer
    x = 372,155.77

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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.