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Finding the Fourth Proportional to 312,890.22, 431,716.17 and 211,104.51

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Solution

The fourth proportional to 312,890.22, 431,716.17 and 211,104.51 is: 291,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,890.22 : 431,716.17 = 211,104.51 : x
  2. Step 2: Convert to fraction form
    312,890.22/431,716.17 = 211,104.51/x
  3. Step 3: Cross multiply
    312,890.22x = 431,716.17 × 211,104.51
  4. Step 4: Simplify right side
    312,890.22x = 91,137,230,526.93
  5. Step 5: Solve for x
    x = 91,137,230,526.93/312,890.22
  6. Step 6: Final answer
    x = 291,275.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.