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Finding the Fourth Proportional to 362,438.46, 543,519.25 and 119,223

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Solution

The fourth proportional to 362,438.46, 543,519.25 and 119,223 is: 178,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,438.46 : 543,519.25 = 119,223 : x
  2. Step 2: Convert to fraction form
    362,438.46/543,519.25 = 119,223/x
  3. Step 3: Cross multiply
    362,438.46x = 543,519.25 × 119,223
  4. Step 4: Simplify right side
    362,438.46x = 64,799,995,244.69
  5. Step 5: Solve for x
    x = 64,799,995,244.69/362,438.46
  6. Step 6: Final answer
    x = 178,788.96

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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.