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Finding the Fourth Proportional to 276,402.50, 414,606.08 and 76,738.46

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Solution

The fourth proportional to 276,402.50, 414,606.08 and 76,738.46 is: 115,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,402.50 : 414,606.08 = 76,738.46 : x
  2. Step 2: Convert to fraction form
    276,402.50/414,606.08 = 76,738.46/x
  3. Step 3: Cross multiply
    276,402.50x = 414,606.08 × 76,738.46
  4. Step 4: Simplify right side
    276,402.50x = 31,816,232,249.04
  5. Step 5: Solve for x
    x = 31,816,232,249.04/276,402.50
  6. Step 6: Final answer
    x = 115,108.34

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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.