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Finding the Fourth Proportional to 409,917.70, 565,600.41 and 248,857.54

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Solution

The fourth proportional to 409,917.70, 565,600.41 and 248,857.54 is: 343,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,917.70 : 565,600.41 = 248,857.54 : x
  2. Step 2: Convert to fraction form
    409,917.70/565,600.41 = 248,857.54/x
  3. Step 3: Cross multiply
    409,917.70x = 565,600.41 × 248,857.54
  4. Step 4: Simplify right side
    409,917.70x = 140,753,926,655.59
  5. Step 5: Solve for x
    x = 140,753,926,655.59/409,917.70
  6. Step 6: Final answer
    x = 343,371.19

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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.