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Finding the Fourth Proportional to 273,098.97, 409,670.33 and 209,149.29

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Solution

The fourth proportional to 273,098.97, 409,670.33 and 209,149.29 is: 313,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,098.97 : 409,670.33 = 209,149.29 : x
  2. Step 2: Convert to fraction form
    273,098.97/409,670.33 = 209,149.29/x
  3. Step 3: Cross multiply
    273,098.97x = 409,670.33 × 209,149.29
  4. Step 4: Simplify right side
    273,098.97x = 85,682,257,607.82
  5. Step 5: Solve for x
    x = 85,682,257,607.82/273,098.97
  6. Step 6: Final answer
    x = 313,740.68

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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.