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Finding the Fourth Proportional to 424,413.36, 585,687.38 and 233,422.65

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Solution

The fourth proportional to 424,413.36, 585,687.38 and 233,422.65 is: 322,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,413.36 : 585,687.38 = 233,422.65 : x
  2. Step 2: Convert to fraction form
    424,413.36/585,687.38 = 233,422.65/x
  3. Step 3: Cross multiply
    424,413.36x = 585,687.38 × 233,422.65
  4. Step 4: Simplify right side
    424,413.36x = 136,712,699,144.04
  5. Step 5: Solve for x
    x = 136,712,699,144.04/424,413.36
  6. Step 6: Final answer
    x = 322,121.57

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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.