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Finding the Fourth Proportional to 393,084.28, 542,388.30 and 231,927.16

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Solution

The fourth proportional to 393,084.28, 542,388.30 and 231,927.16 is: 320,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,084.28 : 542,388.30 = 231,927.16 : x
  2. Step 2: Convert to fraction form
    393,084.28/542,388.30 = 231,927.16/x
  3. Step 3: Cross multiply
    393,084.28x = 542,388.30 × 231,927.16
  4. Step 4: Simplify right side
    393,084.28x = 125,794,578,036.23
  5. Step 5: Solve for x
    x = 125,794,578,036.23/393,084.28
  6. Step 6: Final answer
    x = 320,019.36

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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.