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Finding the Fourth Proportional to 412,020.72, 568,340.28 and 242,115.12

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Solution

The fourth proportional to 412,020.72, 568,340.28 and 242,115.12 is: 333,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,020.72 : 568,340.28 = 242,115.12 : x
  2. Step 2: Convert to fraction form
    412,020.72/568,340.28 = 242,115.12/x
  3. Step 3: Cross multiply
    412,020.72x = 568,340.28 × 242,115.12
  4. Step 4: Simplify right side
    412,020.72x = 137,603,775,093.03
  5. Step 5: Solve for x
    x = 137,603,775,093.03/412,020.72
  6. Step 6: Final answer
    x = 333,972.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.