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Finding the Fourth Proportional to 276,629.40, 414,944.10 and 276,629.40

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Solution

The fourth proportional to 276,629.40, 414,944.10 and 276,629.40 is: 414,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,629.40 : 414,944.10 = 276,629.40 : x
  2. Step 2: Convert to fraction form
    276,629.40/414,944.10 = 276,629.40/x
  3. Step 3: Cross multiply
    276,629.40x = 414,944.10 × 276,629.40
  4. Step 4: Simplify right side
    276,629.40x = 114,785,737,416.54
  5. Step 5: Solve for x
    x = 114,785,737,416.54/276,629.40
  6. Step 6: Final answer
    x = 414,944.10

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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.