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Finding the Fourth Proportional to 367,406.05, 507,003.10 and 204,073.15

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Solution

The fourth proportional to 367,406.05, 507,003.10 and 204,073.15 is: 281,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,406.05 : 507,003.10 = 204,073.15 : x
  2. Step 2: Convert to fraction form
    367,406.05/507,003.10 = 204,073.15/x
  3. Step 3: Cross multiply
    367,406.05x = 507,003.10 × 204,073.15
  4. Step 4: Simplify right side
    367,406.05x = 103,465,718,136.73
  5. Step 5: Solve for x
    x = 103,465,718,136.73/367,406.05
  6. Step 6: Final answer
    x = 281,611.36

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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.