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Finding the Fourth Proportional to 329,069.40, 494,187.30 and 254,371.20

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Solution

The fourth proportional to 329,069.40, 494,187.30 and 254,371.20 is: 382,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,069.40 : 494,187.30 = 254,371.20 : x
  2. Step 2: Convert to fraction form
    329,069.40/494,187.30 = 254,371.20/x
  3. Step 3: Cross multiply
    329,069.40x = 494,187.30 × 254,371.20
  4. Step 4: Simplify right side
    329,069.40x = 125,707,016,525.76
  5. Step 5: Solve for x
    x = 125,707,016,525.76/329,069.40
  6. Step 6: Final answer
    x = 382,007.61

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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.