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Finding the Fourth Proportional to 526,413.96, 726,449.18 and 284,696.82

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Solution

The fourth proportional to 526,413.96, 726,449.18 and 284,696.82 is: 392,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,413.96 : 726,449.18 = 284,696.82 : x
  2. Step 2: Convert to fraction form
    526,413.96/726,449.18 = 284,696.82/x
  3. Step 3: Cross multiply
    526,413.96x = 726,449.18 × 284,696.82
  4. Step 4: Simplify right side
    526,413.96x = 206,817,770,014.12
  5. Step 5: Solve for x
    x = 206,817,770,014.12/526,413.96
  6. Step 6: Final answer
    x = 392,880.48

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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.