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Finding the Fourth Proportional to 276,033.49, 414,069.92 and 73,628.46

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Solution

The fourth proportional to 276,033.49, 414,069.92 and 73,628.46 is: 110,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,033.49 : 414,069.92 = 73,628.46 : x
  2. Step 2: Convert to fraction form
    276,033.49/414,069.92 = 73,628.46/x
  3. Step 3: Cross multiply
    276,033.49x = 414,069.92 × 73,628.46
  4. Step 4: Simplify right side
    276,033.49x = 30,487,330,725.99
  5. Step 5: Solve for x
    x = 30,487,330,725.99/276,033.49
  6. Step 6: Final answer
    x = 110,447.94

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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.