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Finding the Fourth Proportional to 367,413.58, 506,995.74 and 206,231.68

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Solution

The fourth proportional to 367,413.58, 506,995.74 and 206,231.68 is: 284,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,413.58 : 506,995.74 = 206,231.68 : x
  2. Step 2: Convert to fraction form
    367,413.58/506,995.74 = 206,231.68/x
  3. Step 3: Cross multiply
    367,413.58x = 506,995.74 × 206,231.68
  4. Step 4: Simplify right side
    367,413.58x = 104,558,583,213.04
  5. Step 5: Solve for x
    x = 104,558,583,213.04/367,413.58
  6. Step 6: Final answer
    x = 284,580.07

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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.