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Finding the Fourth Proportional to 276,418.20, 414,627.30 and 89,448.60

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Solution

The fourth proportional to 276,418.20, 414,627.30 and 89,448.60 is: 134,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,418.20 : 414,627.30 = 89,448.60 : x
  2. Step 2: Convert to fraction form
    276,418.20/414,627.30 = 89,448.60/x
  3. Step 3: Cross multiply
    276,418.20x = 414,627.30 × 89,448.60
  4. Step 4: Simplify right side
    276,418.20x = 37,087,831,506.78
  5. Step 5: Solve for x
    x = 37,087,831,506.78/276,418.20
  6. Step 6: Final answer
    x = 134,172.90

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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.