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Finding the Fourth Proportional to 231,945.96, 317,687.10 and 218,328.24

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Solution

The fourth proportional to 231,945.96, 317,687.10 and 218,328.24 is: 299,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,945.96 : 317,687.10 = 218,328.24 : x
  2. Step 2: Convert to fraction form
    231,945.96/317,687.10 = 218,328.24/x
  3. Step 3: Cross multiply
    231,945.96x = 317,687.10 × 218,328.24
  4. Step 4: Simplify right side
    231,945.96x = 69,360,065,413.70
  5. Step 5: Solve for x
    x = 69,360,065,413.70/231,945.96
  6. Step 6: Final answer
    x = 299,035.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.