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Finding the Fourth Proportional to 414,413.85, 621,620.93 and 186,443.23

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Solution

The fourth proportional to 414,413.85, 621,620.93 and 186,443.23 is: 279,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,413.85 : 621,620.93 = 186,443.23 : x
  2. Step 2: Convert to fraction form
    414,413.85/621,620.93 = 186,443.23/x
  3. Step 3: Cross multiply
    414,413.85x = 621,620.93 × 186,443.23
  4. Step 4: Simplify right side
    414,413.85x = 115,897,016,820.55
  5. Step 5: Solve for x
    x = 115,897,016,820.55/414,413.85
  6. Step 6: Final answer
    x = 279,664.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.