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Finding the Fourth Proportional to 367,514.21, 507,134.32 and 206,332.31

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Solution

The fourth proportional to 367,514.21, 507,134.32 and 206,332.31 is: 284,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,514.21 : 507,134.32 = 206,332.31 : x
  2. Step 2: Convert to fraction form
    367,514.21/507,134.32 = 206,332.31/x
  3. Step 3: Cross multiply
    367,514.21x = 507,134.32 × 206,332.31
  4. Step 4: Simplify right side
    367,514.21x = 104,638,195,725.88
  5. Step 5: Solve for x
    x = 104,638,195,725.88/367,514.21
  6. Step 6: Final answer
    x = 284,718.78

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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.