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Finding the Fourth Proportional to 367,689.96, 507,356.91 and 206,514.14

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Solution

The fourth proportional to 367,689.96, 507,356.91 and 206,514.14 is: 284,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,689.96 : 507,356.91 = 206,514.14 : x
  2. Step 2: Convert to fraction form
    367,689.96/507,356.91 = 206,514.14/x
  3. Step 3: Cross multiply
    367,689.96x = 507,356.91 × 206,514.14
  4. Step 4: Simplify right side
    367,689.96x = 104,776,373,404.92
  5. Step 5: Solve for x
    x = 104,776,373,404.92/367,689.96
  6. Step 6: Final answer
    x = 284,958.48

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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.