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Finding the Fourth Proportional to 344,716.35, 475,514.25 and 206,859.60

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Solution

The fourth proportional to 344,716.35, 475,514.25 and 206,859.60 is: 285,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,716.35 : 475,514.25 = 206,859.60 : x
  2. Step 2: Convert to fraction form
    344,716.35/475,514.25 = 206,859.60/x
  3. Step 3: Cross multiply
    344,716.35x = 475,514.25 × 206,859.60
  4. Step 4: Simplify right side
    344,716.35x = 98,364,687,549.30
  5. Step 5: Solve for x
    x = 98,364,687,549.30/344,716.35
  6. Step 6: Final answer
    x = 285,349.64

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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.