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Finding the Fourth Proportional to 306,382.42, 422,801.66 and 170,413.44

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Solution

The fourth proportional to 306,382.42, 422,801.66 and 170,413.44 is: 235,167.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,382.42 : 422,801.66 = 170,413.44 : x
  2. Step 2: Convert to fraction form
    306,382.42/422,801.66 = 170,413.44/x
  3. Step 3: Cross multiply
    306,382.42x = 422,801.66 × 170,413.44
  4. Step 4: Simplify right side
    306,382.42x = 72,051,083,200.26
  5. Step 5: Solve for x
    x = 72,051,083,200.26/306,382.42
  6. Step 6: Final answer
    x = 235,167.16

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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.