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Finding the Fourth Proportional to 352,409.44, 486,103.83 and 209,068

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Solution

The fourth proportional to 352,409.44, 486,103.83 and 209,068 is: 288,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,409.44 : 486,103.83 = 209,068 : x
  2. Step 2: Convert to fraction form
    352,409.44/486,103.83 = 209,068/x
  3. Step 3: Cross multiply
    352,409.44x = 486,103.83 × 209,068
  4. Step 4: Simplify right side
    352,409.44x = 101,628,755,530.44
  5. Step 5: Solve for x
    x = 101,628,755,530.44/352,409.44
  6. Step 6: Final answer
    x = 288,382.61

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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.