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Finding the Fourth Proportional to 496,188.53, 684,724.16 and 281,347.73

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Solution

The fourth proportional to 496,188.53, 684,724.16 and 281,347.73 is: 388,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,188.53 : 684,724.16 = 281,347.73 : x
  2. Step 2: Convert to fraction form
    496,188.53/684,724.16 = 281,347.73/x
  3. Step 3: Cross multiply
    496,188.53x = 684,724.16 × 281,347.73
  4. Step 4: Simplify right side
    496,188.53x = 192,645,586,357.04
  5. Step 5: Solve for x
    x = 192,645,586,357.04/496,188.53
  6. Step 6: Final answer
    x = 388,250.79

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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.