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Finding the Fourth Proportional to 276,406.94, 414,564.26 and 76,747.51

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Solution

The fourth proportional to 276,406.94, 414,564.26 and 76,747.51 is: 115,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,406.94 : 414,564.26 = 76,747.51 : x
  2. Step 2: Convert to fraction form
    276,406.94/414,564.26 = 76,747.51/x
  3. Step 3: Cross multiply
    276,406.94x = 414,564.26 × 76,747.51
  4. Step 4: Simplify right side
    276,406.94x = 31,816,772,924.24
  5. Step 5: Solve for x
    x = 31,816,772,924.24/276,406.94
  6. Step 6: Final answer
    x = 115,108.45

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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.