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Finding the Fourth Proportional to 306,382.92, 422,802.35 and 170,413.94

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Solution

The fourth proportional to 306,382.92, 422,802.35 and 170,413.94 is: 235,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,382.92 : 422,802.35 = 170,413.94 : x
  2. Step 2: Convert to fraction form
    306,382.92/422,802.35 = 170,413.94/x
  3. Step 3: Cross multiply
    306,382.92x = 422,802.35 × 170,413.94
  4. Step 4: Simplify right side
    306,382.92x = 72,051,411,338.68
  5. Step 5: Solve for x
    x = 72,051,411,338.68/306,382.92
  6. Step 6: Final answer
    x = 235,167.85

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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.