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Finding the Fourth Proportional to 276,054.20, 414,081.30 and 241,839.80

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Solution

The fourth proportional to 276,054.20, 414,081.30 and 241,839.80 is: 362,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,054.20 : 414,081.30 = 241,839.80 : x
  2. Step 2: Convert to fraction form
    276,054.20/414,081.30 = 241,839.80/x
  3. Step 3: Cross multiply
    276,054.20x = 414,081.30 × 241,839.80
  4. Step 4: Simplify right side
    276,054.20x = 100,141,338,775.74
  5. Step 5: Solve for x
    x = 100,141,338,775.74/276,054.20
  6. Step 6: Final answer
    x = 362,759.70

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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.