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Finding the Fourth Proportional to 297,264.34, 445,911.12 and 119,747.32

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Solution

The fourth proportional to 297,264.34, 445,911.12 and 119,747.32 is: 179,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,264.34 : 445,911.12 = 119,747.32 : x
  2. Step 2: Convert to fraction form
    297,264.34/445,911.12 = 119,747.32/x
  3. Step 3: Cross multiply
    297,264.34x = 445,911.12 × 119,747.32
  4. Step 4: Simplify right side
    297,264.34x = 53,396,661,578.20
  5. Step 5: Solve for x
    x = 53,396,661,578.20/297,264.34
  6. Step 6: Final answer
    x = 179,626.87

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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.