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Finding the Fourth Proportional to 338,199.96, 506,745.84 and 205,123.44

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Solution

The fourth proportional to 338,199.96, 506,745.84 and 205,123.44 is: 307,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,199.96 : 506,745.84 = 205,123.44 : x
  2. Step 2: Convert to fraction form
    338,199.96/506,745.84 = 205,123.44/x
  3. Step 3: Cross multiply
    338,199.96x = 506,745.84 × 205,123.44
  4. Step 4: Simplify right side
    338,199.96x = 103,945,449,906.49
  5. Step 5: Solve for x
    x = 103,945,449,906.49/338,199.96
  6. Step 6: Final answer
    x = 307,349.09

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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.