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Finding the Fourth Proportional to 276,403.14, 414,634.34 and 76,724.38

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Solution

The fourth proportional to 276,403.14, 414,634.34 and 76,724.38 is: 115,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,403.14 : 414,634.34 = 76,724.38 : x
  2. Step 2: Convert to fraction form
    276,403.14/414,634.34 = 76,724.38/x
  3. Step 3: Cross multiply
    276,403.14x = 414,634.34 × 76,724.38
  4. Step 4: Simplify right side
    276,403.14x = 31,812,562,663.21
  5. Step 5: Solve for x
    x = 31,812,562,663.21/276,403.14
  6. Step 6: Final answer
    x = 115,094.79

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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.