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Finding the Fourth Proportional to 367,418.21, 507,066.41 and 206,283.83

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Solution

The fourth proportional to 367,418.21, 507,066.41 and 206,283.83 is: 284,688.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,418.21 : 507,066.41 = 206,283.83 : x
  2. Step 2: Convert to fraction form
    367,418.21/507,066.41 = 206,283.83/x
  3. Step 3: Cross multiply
    367,418.21x = 507,066.41 × 206,283.83
  4. Step 4: Simplify right side
    367,418.21x = 104,599,599,099.53
  5. Step 5: Solve for x
    x = 104,599,599,099.53/367,418.21
  6. Step 6: Final answer
    x = 284,688.12

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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.