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Finding the Fourth Proportional to 505,194.26, 697,164.72 and 278,839.76

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Solution

The fourth proportional to 505,194.26, 697,164.72 and 278,839.76 is: 384,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,194.26 : 697,164.72 = 278,839.76 : x
  2. Step 2: Convert to fraction form
    505,194.26/697,164.72 = 278,839.76/x
  3. Step 3: Cross multiply
    505,194.26x = 697,164.72 × 278,839.76
  4. Step 4: Simplify right side
    505,194.26x = 194,397,243,205.27
  5. Step 5: Solve for x
    x = 194,397,243,205.27/505,194.26
  6. Step 6: Final answer
    x = 384,797.01

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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.