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Finding the Fourth Proportional to 295,413.24, 407,668.14 and 161,277.24

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Solution

The fourth proportional to 295,413.24, 407,668.14 and 161,277.24 is: 222,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,413.24 : 407,668.14 = 161,277.24 : x
  2. Step 2: Convert to fraction form
    295,413.24/407,668.14 = 161,277.24/x
  3. Step 3: Cross multiply
    295,413.24x = 407,668.14 × 161,277.24
  4. Step 4: Simplify right side
    295,413.24x = 65,747,592,455.13
  5. Step 5: Solve for x
    x = 65,747,592,455.13/295,413.24
  6. Step 6: Final answer
    x = 222,561.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.