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Finding the Fourth Proportional to 276,330.84, 414,505.14 and 76,653.24

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Solution

The fourth proportional to 276,330.84, 414,505.14 and 76,653.24 is: 114,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,330.84 : 414,505.14 = 76,653.24 : x
  2. Step 2: Convert to fraction form
    276,330.84/414,505.14 = 76,653.24/x
  3. Step 3: Cross multiply
    276,330.84x = 414,505.14 × 76,653.24
  4. Step 4: Simplify right side
    276,330.84x = 31,773,161,977.65
  5. Step 5: Solve for x
    x = 31,773,161,977.65/276,330.84
  6. Step 6: Final answer
    x = 114,982.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.