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Finding the Fourth Proportional to 297,379.51, 410,384.12 and 161,413.48

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Solution

The fourth proportional to 297,379.51, 410,384.12 and 161,413.48 is: 222,750.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,379.51 : 410,384.12 = 161,413.48 : x
  2. Step 2: Convert to fraction form
    297,379.51/410,384.12 = 161,413.48/x
  3. Step 3: Cross multiply
    297,379.51x = 410,384.12 × 161,413.48
  4. Step 4: Simplify right side
    297,379.51x = 66,241,527,112.91
  5. Step 5: Solve for x
    x = 66,241,527,112.91/297,379.51
  6. Step 6: Final answer
    x = 222,750.81

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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.