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Finding the Fourth Proportional to 388,424.64, 582,636.96 and 222,096

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Solution

The fourth proportional to 388,424.64, 582,636.96 and 222,096 is: 333,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,424.64 : 582,636.96 = 222,096 : x
  2. Step 2: Convert to fraction form
    388,424.64/582,636.96 = 222,096/x
  3. Step 3: Cross multiply
    388,424.64x = 582,636.96 × 222,096
  4. Step 4: Simplify right side
    388,424.64x = 129,401,338,268.16
  5. Step 5: Solve for x
    x = 129,401,338,268.16/388,424.64
  6. Step 6: Final answer
    x = 333,144.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.