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Finding the Fourth Proportional to 276,410.46, 381,255.54 and 169,033.32

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Solution

The fourth proportional to 276,410.46, 381,255.54 and 169,033.32 is: 233,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,410.46 : 381,255.54 = 169,033.32 : x
  2. Step 2: Convert to fraction form
    276,410.46/381,255.54 = 169,033.32/x
  3. Step 3: Cross multiply
    276,410.46x = 381,255.54 × 169,033.32
  4. Step 4: Simplify right side
    276,410.46x = 64,444,889,694.59
  5. Step 5: Solve for x
    x = 64,444,889,694.59/276,410.46
  6. Step 6: Final answer
    x = 233,149.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.