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Finding the Fourth Proportional to 394,127.11, 543,734.40 and 291,008.44

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Solution

The fourth proportional to 394,127.11, 543,734.40 and 291,008.44 is: 401,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,127.11 : 543,734.40 = 291,008.44 : x
  2. Step 2: Convert to fraction form
    394,127.11/543,734.40 = 291,008.44/x
  3. Step 3: Cross multiply
    394,127.11x = 543,734.40 × 291,008.44
  4. Step 4: Simplify right side
    394,127.11x = 158,231,299,518.34
  5. Step 5: Solve for x
    x = 158,231,299,518.34/394,127.11
  6. Step 6: Final answer
    x = 401,472.76

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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.