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Finding the Fourth Proportional to 496,188.72, 684,724.42 and 281,347.92

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Solution

The fourth proportional to 496,188.72, 684,724.42 and 281,347.92 is: 388,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,188.72 : 684,724.42 = 281,347.92 : x
  2. Step 2: Convert to fraction form
    496,188.72/684,724.42 = 281,347.92/x
  3. Step 3: Cross multiply
    496,188.72x = 684,724.42 × 281,347.92
  4. Step 4: Simplify right side
    496,188.72x = 192,645,790,636.84
  5. Step 5: Solve for x
    x = 192,645,790,636.84/496,188.72
  6. Step 6: Final answer
    x = 388,251.05

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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.