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Finding the Fourth Proportional to 276,706.70, 414,121.83 and 170,157.59

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Solution

The fourth proportional to 276,706.70, 414,121.83 and 170,157.59 is: 254,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,706.70 : 414,121.83 = 170,157.59 : x
  2. Step 2: Convert to fraction form
    276,706.70/414,121.83 = 170,157.59/x
  3. Step 3: Cross multiply
    276,706.70x = 414,121.83 × 170,157.59
  4. Step 4: Simplify right side
    276,706.70x = 70,465,973,594.49
  5. Step 5: Solve for x
    x = 70,465,973,594.49/276,706.70
  6. Step 6: Final answer
    x = 254,659.45

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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.