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Finding the Fourth Proportional to 403,706.09, 557,111.80 and 222,413.83

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Solution

The fourth proportional to 403,706.09, 557,111.80 and 222,413.83 is: 306,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,706.09 : 557,111.80 = 222,413.83 : x
  2. Step 2: Convert to fraction form
    403,706.09/557,111.80 = 222,413.83/x
  3. Step 3: Cross multiply
    403,706.09x = 557,111.80 × 222,413.83
  4. Step 4: Simplify right side
    403,706.09x = 123,909,369,176.19
  5. Step 5: Solve for x
    x = 123,909,369,176.19/403,706.09
  6. Step 6: Final answer
    x = 306,929.65

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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.