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Finding the Fourth Proportional to 368,082.62, 507,956.22 and 206,936.30

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Solution

The fourth proportional to 368,082.62, 507,956.22 and 206,936.30 is: 285,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,082.62 : 507,956.22 = 206,936.30 : x
  2. Step 2: Convert to fraction form
    368,082.62/507,956.22 = 206,936.30/x
  3. Step 3: Cross multiply
    368,082.62x = 507,956.22 × 206,936.30
  4. Step 4: Simplify right side
    368,082.62x = 105,114,580,728.79
  5. Step 5: Solve for x
    x = 105,114,580,728.79/368,082.62
  6. Step 6: Final answer
    x = 285,573.33

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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.