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Finding the Fourth Proportional to 295,227, 407,413.26 and 161,091

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Solution

The fourth proportional to 295,227, 407,413.26 and 161,091 is: 222,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,227 : 407,413.26 = 161,091 : x
  2. Step 2: Convert to fraction form
    295,227/407,413.26 = 161,091/x
  3. Step 3: Cross multiply
    295,227x = 407,413.26 × 161,091
  4. Step 4: Simplify right side
    295,227x = 65,630,609,466.66
  5. Step 5: Solve for x
    x = 65,630,609,466.66/295,227
  6. Step 6: Final answer
    x = 222,305.58

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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.