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Finding the Fourth Proportional to 424,198.26, 585,388.35 and 233,209.98

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Solution

The fourth proportional to 424,198.26, 585,388.35 and 233,209.98 is: 321,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,198.26 : 585,388.35 = 233,209.98 : x
  2. Step 2: Convert to fraction form
    424,198.26/585,388.35 = 233,209.98/x
  3. Step 3: Cross multiply
    424,198.26x = 585,388.35 × 233,209.98
  4. Step 4: Simplify right side
    424,198.26x = 136,518,405,395.73
  5. Step 5: Solve for x
    x = 136,518,405,395.73/424,198.26
  6. Step 6: Final answer
    x = 321,826.89

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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.