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Finding the Fourth Proportional to 505,668.32, 697,786.80 and 279,296

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Solution

The fourth proportional to 505,668.32, 697,786.80 and 279,296 is: 385,408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,668.32 : 697,786.80 = 279,296 : x
  2. Step 2: Convert to fraction form
    505,668.32/697,786.80 = 279,296/x
  3. Step 3: Cross multiply
    505,668.32x = 697,786.80 × 279,296
  4. Step 4: Simplify right side
    505,668.32x = 194,889,062,092.80
  5. Step 5: Solve for x
    x = 194,889,062,092.80/505,668.32
  6. Step 6: Final answer
    x = 385,408.88

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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.