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Finding the Fourth Proportional to 276,640.40, 414,960.60 and 206,656.40

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Solution

The fourth proportional to 276,640.40, 414,960.60 and 206,656.40 is: 309,984.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,640.40 : 414,960.60 = 206,656.40 : x
  2. Step 2: Convert to fraction form
    276,640.40/414,960.60 = 206,656.40/x
  3. Step 3: Cross multiply
    276,640.40x = 414,960.60 × 206,656.40
  4. Step 4: Simplify right side
    276,640.40x = 85,754,263,737.84
  5. Step 5: Solve for x
    x = 85,754,263,737.84/276,640.40
  6. Step 6: Final answer
    x = 309,984.60

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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.