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Finding the Fourth Proportional to 360,940.53, 498,091.89 and 199,792.11

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Solution

The fourth proportional to 360,940.53, 498,091.89 and 199,792.11 is: 275,709.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,940.53 : 498,091.89 = 199,792.11 : x
  2. Step 2: Convert to fraction form
    360,940.53/498,091.89 = 199,792.11/x
  3. Step 3: Cross multiply
    360,940.53x = 498,091.89 × 199,792.11
  4. Step 4: Simplify right side
    360,940.53x = 99,514,829,676.99
  5. Step 5: Solve for x
    x = 99,514,829,676.99/360,940.53
  6. Step 6: Final answer
    x = 275,709.77

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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.