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Finding the Fourth Proportional to 274,322.70, 410,827.95 and 221,834.70

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Solution

The fourth proportional to 274,322.70, 410,827.95 and 221,834.70 is: 332,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,322.70 : 410,827.95 = 221,834.70 : x
  2. Step 2: Convert to fraction form
    274,322.70/410,827.95 = 221,834.70/x
  3. Step 3: Cross multiply
    274,322.70x = 410,827.95 × 221,834.70
  4. Step 4: Simplify right side
    274,322.70x = 91,135,895,039.87
  5. Step 5: Solve for x
    x = 91,135,895,039.87/274,322.70
  6. Step 6: Final answer
    x = 332,221.49

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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.