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Finding the Fourth Proportional to 424,446.89, 585,724.36 and 233,460.23

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Solution

The fourth proportional to 424,446.89, 585,724.36 and 233,460.23 is: 322,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,446.89 : 585,724.36 = 233,460.23 : x
  2. Step 2: Convert to fraction form
    424,446.89/585,724.36 = 233,460.23/x
  3. Step 3: Cross multiply
    424,446.89x = 585,724.36 × 233,460.23
  4. Step 4: Simplify right side
    424,446.89x = 136,743,339,706.28
  5. Step 5: Solve for x
    x = 136,743,339,706.28/424,446.89
  6. Step 6: Final answer
    x = 322,168.32

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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.