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Finding the Fourth Proportional to 424,643.08, 585,992.82 and 233,638.60

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Solution

The fourth proportional to 424,643.08, 585,992.82 and 233,638.60 is: 322,413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,643.08 : 585,992.82 = 233,638.60 : x
  2. Step 2: Convert to fraction form
    424,643.08/585,992.82 = 233,638.60/x
  3. Step 3: Cross multiply
    424,643.08x = 585,992.82 × 233,638.60
  4. Step 4: Simplify right side
    424,643.08x = 136,910,542,074.85
  5. Step 5: Solve for x
    x = 136,910,542,074.85/424,643.08
  6. Step 6: Final answer
    x = 322,413.22

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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.