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Finding the Fourth Proportional to 367,757.91, 507,518.98 and 206,609.72

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Solution

The fourth proportional to 367,757.91, 507,518.98 and 206,609.72 is: 285,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,757.91 : 507,518.98 = 206,609.72 : x
  2. Step 2: Convert to fraction form
    367,757.91/507,518.98 = 206,609.72/x
  3. Step 3: Cross multiply
    367,757.91x = 507,518.98 × 206,609.72
  4. Step 4: Simplify right side
    367,757.91x = 104,858,351,298.37
  5. Step 5: Solve for x
    x = 104,858,351,298.37/367,757.91
  6. Step 6: Final answer
    x = 285,128.74

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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.