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Finding the Fourth Proportional to 233,517.65, 322,142.50 and 224,464.37

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Solution

The fourth proportional to 233,517.65, 322,142.50 and 224,464.37 is: 309,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,517.65 : 322,142.50 = 224,464.37 : x
  2. Step 2: Convert to fraction form
    233,517.65/322,142.50 = 224,464.37/x
  3. Step 3: Cross multiply
    233,517.65x = 322,142.50 × 224,464.37
  4. Step 4: Simplify right side
    233,517.65x = 72,309,513,556.92
  5. Step 5: Solve for x
    x = 72,309,513,556.92/233,517.65
  6. Step 6: Final answer
    x = 309,653.31

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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.