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Finding the Fourth Proportional to 424,217.98, 585,405.75 and 233,229.98

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Solution

The fourth proportional to 424,217.98, 585,405.75 and 233,229.98 is: 321,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,217.98 : 585,405.75 = 233,229.98 : x
  2. Step 2: Convert to fraction form
    424,217.98/585,405.75 = 233,229.98/x
  3. Step 3: Cross multiply
    424,217.98x = 585,405.75 × 233,229.98
  4. Step 4: Simplify right side
    424,217.98x = 136,534,171,364.39
  5. Step 5: Solve for x
    x = 136,534,171,364.39/424,217.98
  6. Step 6: Final answer
    x = 321,849.09

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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.