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Finding the Fourth Proportional to 494,297.70, 741,446.55 and 294,843.30

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Solution

The fourth proportional to 494,297.70, 741,446.55 and 294,843.30 is: 442,264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,297.70 : 741,446.55 = 294,843.30 : x
  2. Step 2: Convert to fraction form
    494,297.70/741,446.55 = 294,843.30/x
  3. Step 3: Cross multiply
    494,297.70x = 741,446.55 × 294,843.30
  4. Step 4: Simplify right side
    494,297.70x = 218,610,547,575.62
  5. Step 5: Solve for x
    x = 218,610,547,575.62/494,297.70
  6. Step 6: Final answer
    x = 442,264.95

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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.