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Finding the Fourth Proportional to 329,690.28, 494,596.92 and 149,788.32

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Solution

The fourth proportional to 329,690.28, 494,596.92 and 149,788.32 is: 224,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,690.28 : 494,596.92 = 149,788.32 : x
  2. Step 2: Convert to fraction form
    329,690.28/494,596.92 = 149,788.32/x
  3. Step 3: Cross multiply
    329,690.28x = 494,596.92 × 149,788.32
  4. Step 4: Simplify right side
    329,690.28x = 74,084,841,723.97
  5. Step 5: Solve for x
    x = 74,084,841,723.97/329,690.28
  6. Step 6: Final answer
    x = 224,710.42

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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.