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Finding the Fourth Proportional to 505,991.91, 759,097.23 and 190,447.92

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Solution

The fourth proportional to 505,991.91, 759,097.23 and 190,447.92 is: 285,713.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,991.91 : 759,097.23 = 190,447.92 : x
  2. Step 2: Convert to fraction form
    505,991.91/759,097.23 = 190,447.92/x
  3. Step 3: Cross multiply
    505,991.91x = 759,097.23 × 190,447.92
  4. Step 4: Simplify right side
    505,991.91x = 144,568,488,531.26
  5. Step 5: Solve for x
    x = 144,568,488,531.26/505,991.91
  6. Step 6: Final answer
    x = 285,713.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.