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Finding the Fourth Proportional to 273,100.97, 409,673.33 and 209,151.29

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Solution

The fourth proportional to 273,100.97, 409,673.33 and 209,151.29 is: 313,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,100.97 : 409,673.33 = 209,151.29 : x
  2. Step 2: Convert to fraction form
    273,100.97/409,673.33 = 209,151.29/x
  3. Step 3: Cross multiply
    273,100.97x = 409,673.33 × 209,151.29
  4. Step 4: Simplify right side
    273,100.97x = 85,683,705,448.10
  5. Step 5: Solve for x
    x = 85,683,705,448.10/273,100.97
  6. Step 6: Final answer
    x = 313,743.69

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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.