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Finding the Fourth Proportional to 367,941.44, 507,744.96 and 206,803.20

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Solution

The fourth proportional to 367,941.44, 507,744.96 and 206,803.20 is: 285,380.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,941.44 : 507,744.96 = 206,803.20 : x
  2. Step 2: Convert to fraction form
    367,941.44/507,744.96 = 206,803.20/x
  3. Step 3: Cross multiply
    367,941.44x = 507,744.96 × 206,803.20
  4. Step 4: Simplify right side
    367,941.44x = 105,003,282,511.87
  5. Step 5: Solve for x
    x = 105,003,282,511.87/367,941.44
  6. Step 6: Final answer
    x = 285,380.42

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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.