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Finding the Fourth Proportional to 362,439.46, 543,520.75 and 119,224

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Solution

The fourth proportional to 362,439.46, 543,520.75 and 119,224 is: 178,790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,439.46 : 543,520.75 = 119,224 : x
  2. Step 2: Convert to fraction form
    362,439.46/543,520.75 = 119,224/x
  3. Step 3: Cross multiply
    362,439.46x = 543,520.75 × 119,224
  4. Step 4: Simplify right side
    362,439.46x = 64,800,717,898
  5. Step 5: Solve for x
    x = 64,800,717,898/362,439.46
  6. Step 6: Final answer
    x = 178,790.46

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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.