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Finding the Fourth Proportional to 329,506.56, 494,208 and 92,874.24

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Solution

The fourth proportional to 329,506.56, 494,208 and 92,874.24 is: 139,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,506.56 : 494,208 = 92,874.24 : x
  2. Step 2: Convert to fraction form
    329,506.56/494,208 = 92,874.24/x
  3. Step 3: Cross multiply
    329,506.56x = 494,208 × 92,874.24
  4. Step 4: Simplify right side
    329,506.56x = 45,899,192,401.92
  5. Step 5: Solve for x
    x = 45,899,192,401.92/329,506.56
  6. Step 6: Final answer
    x = 139,296.75

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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.