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Finding the Fourth Proportional to 378,709.02, 568,024.65 and 201,027.42

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Solution

The fourth proportional to 378,709.02, 568,024.65 and 201,027.42 is: 301,520.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,709.02 : 568,024.65 = 201,027.42 : x
  2. Step 2: Convert to fraction form
    378,709.02/568,024.65 = 201,027.42/x
  3. Step 3: Cross multiply
    378,709.02x = 568,024.65 × 201,027.42
  4. Step 4: Simplify right side
    378,709.02x = 114,188,529,885.90
  5. Step 5: Solve for x
    x = 114,188,529,885.90/378,709.02
  6. Step 6: Final answer
    x = 301,520.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.