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Finding the Fourth Proportional to 276,263.61, 414,395.42 and 182,747.49

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Solution

The fourth proportional to 276,263.61, 414,395.42 and 182,747.49 is: 274,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,263.61 : 414,395.42 = 182,747.49 : x
  2. Step 2: Convert to fraction form
    276,263.61/414,395.42 = 182,747.49/x
  3. Step 3: Cross multiply
    276,263.61x = 414,395.42 × 182,747.49
  4. Step 4: Simplify right side
    276,263.61x = 75,729,721,958.76
  5. Step 5: Solve for x
    x = 75,729,721,958.76/276,263.61
  6. Step 6: Final answer
    x = 274,121.24

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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.