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Finding the Fourth Proportional to 367,737.64, 507,474.93 and 206,589.30

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Solution

The fourth proportional to 367,737.64, 507,474.93 and 206,589.30 is: 285,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,737.64 : 507,474.93 = 206,589.30 : x
  2. Step 2: Convert to fraction form
    367,737.64/507,474.93 = 206,589.30/x
  3. Step 3: Cross multiply
    367,737.64x = 507,474.93 × 206,589.30
  4. Step 4: Simplify right side
    367,737.64x = 104,838,890,556.25
  5. Step 5: Solve for x
    x = 104,838,890,556.25/367,737.64
  6. Step 6: Final answer
    x = 285,091.54

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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.