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Finding the Fourth Proportional to 496,231.75, 684,805.08 and 269,882.11

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Solution

The fourth proportional to 496,231.75, 684,805.08 and 269,882.11 is: 372,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,231.75 : 684,805.08 = 269,882.11 : x
  2. Step 2: Convert to fraction form
    496,231.75/684,805.08 = 269,882.11/x
  3. Step 3: Cross multiply
    496,231.75x = 684,805.08 × 269,882.11
  4. Step 4: Simplify right side
    496,231.75x = 184,816,639,929.12
  5. Step 5: Solve for x
    x = 184,816,639,929.12/496,231.75
  6. Step 6: Final answer
    x = 372,440.18

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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.