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Finding the Fourth Proportional to 329,758.65, 494,384.52 and 167,519.31

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Solution

The fourth proportional to 329,758.65, 494,384.52 and 167,519.31 is: 251,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,758.65 : 494,384.52 = 167,519.31 : x
  2. Step 2: Convert to fraction form
    329,758.65/494,384.52 = 167,519.31/x
  3. Step 3: Cross multiply
    329,758.65x = 494,384.52 × 167,519.31
  4. Step 4: Simplify right side
    329,758.65x = 82,818,954,592.05
  5. Step 5: Solve for x
    x = 82,818,954,592.05/329,758.65
  6. Step 6: Final answer
    x = 251,150.21

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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.