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Finding the Fourth Proportional to 424,396.89, 585,672.60 and 233,413.47

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Solution

The fourth proportional to 424,396.89, 585,672.60 and 233,413.47 is: 322,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,396.89 : 585,672.60 = 233,413.47 : x
  2. Step 2: Convert to fraction form
    424,396.89/585,672.60 = 233,413.47/x
  3. Step 3: Cross multiply
    424,396.89x = 585,672.60 × 233,413.47
  4. Step 4: Simplify right side
    424,396.89x = 136,703,873,849.92
  5. Step 5: Solve for x
    x = 136,703,873,849.92/424,396.89
  6. Step 6: Final answer
    x = 322,113.28

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1.5x scale

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.