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Finding the Fourth Proportional to 367,675.64, 507,372.90 and 206,537.48

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Solution

The fourth proportional to 367,675.64, 507,372.90 and 206,537.48 is: 285,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,675.64 : 507,372.90 = 206,537.48 : x
  2. Step 2: Convert to fraction form
    367,675.64/507,372.90 = 206,537.48/x
  3. Step 3: Cross multiply
    367,675.64x = 507,372.90 × 206,537.48
  4. Step 4: Simplify right side
    367,675.64x = 104,791,520,186.29
  5. Step 5: Solve for x
    x = 104,791,520,186.29/367,675.64
  6. Step 6: Final answer
    x = 285,010.78

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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.