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Finding the Fourth Proportional to 276,403.39, 414,634.71 and 76,724.62

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Solution

The fourth proportional to 276,403.39, 414,634.71 and 76,724.62 is: 115,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,403.39 : 414,634.71 = 76,724.62 : x
  2. Step 2: Convert to fraction form
    276,403.39/414,634.71 = 76,724.62/x
  3. Step 3: Cross multiply
    276,403.39x = 414,634.71 × 76,724.62
  4. Step 4: Simplify right side
    276,403.39x = 31,812,690,563.56
  5. Step 5: Solve for x
    x = 31,812,690,563.56/276,403.39
  6. Step 6: Final answer
    x = 115,095.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.