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Finding the Fourth Proportional to 424,405.26, 585,695.97 and 233,436.42

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Solution

The fourth proportional to 424,405.26, 585,695.97 and 233,436.42 is: 322,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,405.26 : 585,695.97 = 233,436.42 : x
  2. Step 2: Convert to fraction form
    424,405.26/585,695.97 = 233,436.42/x
  3. Step 3: Cross multiply
    424,405.26x = 585,695.97 × 233,436.42
  4. Step 4: Simplify right side
    424,405.26x = 136,722,770,445.23
  5. Step 5: Solve for x
    x = 136,722,770,445.23/424,405.26
  6. Step 6: Final answer
    x = 322,151.45

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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.