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Finding the Fourth Proportional to 276,336.76, 414,504.78 and 110,241.40

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Solution

The fourth proportional to 276,336.76, 414,504.78 and 110,241.40 is: 165,361.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,336.76 : 414,504.78 = 110,241.40 : x
  2. Step 2: Convert to fraction form
    276,336.76/414,504.78 = 110,241.40/x
  3. Step 3: Cross multiply
    276,336.76x = 414,504.78 × 110,241.40
  4. Step 4: Simplify right side
    276,336.76x = 45,695,587,253.89
  5. Step 5: Solve for x
    x = 45,695,587,253.89/276,336.76
  6. Step 6: Final answer
    x = 165,361.96

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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.