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Finding the Fourth Proportional to 329,816.40, 494,141.40 and 279,661.20

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Solution

The fourth proportional to 329,816.40, 494,141.40 and 279,661.20 is: 418,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,816.40 : 494,141.40 = 279,661.20 : x
  2. Step 2: Convert to fraction form
    329,816.40/494,141.40 = 279,661.20/x
  3. Step 3: Cross multiply
    329,816.40x = 494,141.40 × 279,661.20
  4. Step 4: Simplify right side
    329,816.40x = 138,192,176,893.68
  5. Step 5: Solve for x
    x = 138,192,176,893.68/329,816.40
  6. Step 6: Final answer
    x = 418,997.29

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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.