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Finding the Fourth Proportional to 352,634.21, 486,759.38 and 209,393.24

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Solution

The fourth proportional to 352,634.21, 486,759.38 and 209,393.24 is: 289,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,634.21 : 486,759.38 = 209,393.24 : x
  2. Step 2: Convert to fraction form
    352,634.21/486,759.38 = 209,393.24/x
  3. Step 3: Cross multiply
    352,634.21x = 486,759.38 × 209,393.24
  4. Step 4: Simplify right side
    352,634.21x = 101,924,120,197.83
  5. Step 5: Solve for x
    x = 101,924,120,197.83/352,634.21
  6. Step 6: Final answer
    x = 289,036.39

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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.