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Finding the Fourth Proportional to 823,662.80, 1,236,293.12 and 397,498.52

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Solution

The fourth proportional to 823,662.80, 1,236,293.12 and 397,498.52 is: 596,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,662.80 : 1,236,293.12 = 397,498.52 : x
  2. Step 2: Convert to fraction form
    823,662.80/1,236,293.12 = 397,498.52/x
  3. Step 3: Cross multiply
    823,662.80x = 1,236,293.12 × 397,498.52
  4. Step 4: Simplify right side
    823,662.80x = 491,424,685,486.18
  5. Step 5: Solve for x
    x = 491,424,685,486.18/823,662.80
  6. Step 6: Final answer
    x = 596,633.34

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