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Finding the Fourth Proportional to 296,635.92, 409,244.59 and 219,297.27

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Solution

The fourth proportional to 296,635.92, 409,244.59 and 219,297.27 is: 302,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,635.92 : 409,244.59 = 219,297.27 : x
  2. Step 2: Convert to fraction form
    296,635.92/409,244.59 = 219,297.27/x
  3. Step 3: Cross multiply
    296,635.92x = 409,244.59 × 219,297.27
  4. Step 4: Simplify right side
    296,635.92x = 89,746,220,252.78
  5. Step 5: Solve for x
    x = 89,746,220,252.78/296,635.92
  6. Step 6: Final answer
    x = 302,546.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.