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Finding the Fourth Proportional to 492,766.44, 680,019.24 and 266,413.56

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Solution

The fourth proportional to 492,766.44, 680,019.24 and 266,413.56 is: 367,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,766.44 : 680,019.24 = 266,413.56 : x
  2. Step 2: Convert to fraction form
    492,766.44/680,019.24 = 266,413.56/x
  3. Step 3: Cross multiply
    492,766.44x = 680,019.24 × 266,413.56
  4. Step 4: Simplify right side
    492,766.44x = 181,166,346,596.89
  5. Step 5: Solve for x
    x = 181,166,346,596.89/492,766.44
  6. Step 6: Final answer
    x = 367,651.55

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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.