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Finding the Fourth Proportional to 276,464.91, 414,846.35 and 116,651.59

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Solution

The fourth proportional to 276,464.91, 414,846.35 and 116,651.59 is: 175,040.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,464.91 : 414,846.35 = 116,651.59 : x
  2. Step 2: Convert to fraction form
    276,464.91/414,846.35 = 116,651.59/x
  3. Step 3: Cross multiply
    276,464.91x = 414,846.35 × 116,651.59
  4. Step 4: Simplify right side
    276,464.91x = 48,392,486,333.20
  5. Step 5: Solve for x
    x = 48,392,486,333.20/276,464.91
  6. Step 6: Final answer
    x = 175,040.25

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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.