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Finding the Fourth Proportional to 276,369.58, 414,507.99 and 76,710.25

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Solution

The fourth proportional to 276,369.58, 414,507.99 and 76,710.25 is: 115,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,369.58 : 414,507.99 = 76,710.25 : x
  2. Step 2: Convert to fraction form
    276,369.58/414,507.99 = 76,710.25/x
  3. Step 3: Cross multiply
    276,369.58x = 414,507.99 × 76,710.25
  4. Step 4: Simplify right side
    276,369.58x = 31,797,011,539.90
  5. Step 5: Solve for x
    x = 31,797,011,539.90/276,369.58
  6. Step 6: Final answer
    x = 115,052.50

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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.