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Finding the Fourth Proportional to 367,703.82, 507,431.57 and 206,558.98

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Solution

The fourth proportional to 367,703.82, 507,431.57 and 206,558.98 is: 285,051.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,703.82 : 507,431.57 = 206,558.98 : x
  2. Step 2: Convert to fraction form
    367,703.82/507,431.57 = 206,558.98/x
  3. Step 3: Cross multiply
    367,703.82x = 507,431.57 × 206,558.98
  4. Step 4: Simplify right side
    367,703.82x = 104,814,546,379.52
  5. Step 5: Solve for x
    x = 104,814,546,379.52/367,703.82
  6. Step 6: Final answer
    x = 285,051.56

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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.