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Finding the Fourth Proportional to 424,431.09, 585,725.99 and 233,449.49

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Solution

The fourth proportional to 424,431.09, 585,725.99 and 233,449.49 is: 322,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,431.09 : 585,725.99 = 233,449.49 : x
  2. Step 2: Convert to fraction form
    424,431.09/585,725.99 = 233,449.49/x
  3. Step 3: Cross multiply
    424,431.09x = 585,725.99 × 233,449.49
  4. Step 4: Simplify right side
    424,431.09x = 136,737,433,942.31
  5. Step 5: Solve for x
    x = 136,737,433,942.31/424,431.09
  6. Step 6: Final answer
    x = 322,166.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.