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Finding the Fourth Proportional to 509,007.38, 762,986.16 and 228,721.46

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Solution

The fourth proportional to 509,007.38, 762,986.16 and 228,721.46 is: 342,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,007.38 : 762,986.16 = 228,721.46 : x
  2. Step 2: Convert to fraction form
    509,007.38/762,986.16 = 228,721.46/x
  3. Step 3: Cross multiply
    509,007.38x = 762,986.16 × 228,721.46
  4. Step 4: Simplify right side
    509,007.38x = 174,511,304,660.06
  5. Step 5: Solve for x
    x = 174,511,304,660.06/509,007.38
  6. Step 6: Final answer
    x = 342,846.32

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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.