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Finding the Fourth Proportional to 412,948.72, 617,857.62 and 244,559.44

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Solution

The fourth proportional to 412,948.72, 617,857.62 and 244,559.44 is: 365,912.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,948.72 : 617,857.62 = 244,559.44 : x
  2. Step 2: Convert to fraction form
    412,948.72/617,857.62 = 244,559.44/x
  3. Step 3: Cross multiply
    412,948.72x = 617,857.62 × 244,559.44
  4. Step 4: Simplify right side
    412,948.72x = 151,102,913,546.93
  5. Step 5: Solve for x
    x = 151,102,913,546.93/412,948.72
  6. Step 6: Final answer
    x = 365,912.05

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Why These Related Problems?

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