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Finding the Fourth Proportional to 653,787.36, 902,481.12 and 412,022.56

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Solution

The fourth proportional to 653,787.36, 902,481.12 and 412,022.56 is: 568,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,787.36 : 902,481.12 = 412,022.56 : x
  2. Step 2: Convert to fraction form
    653,787.36/902,481.12 = 412,022.56/x
  3. Step 3: Cross multiply
    653,787.36x = 902,481.12 × 412,022.56
  4. Step 4: Simplify right side
    653,787.36x = 371,842,581,414.07
  5. Step 5: Solve for x
    x = 371,842,581,414.07/653,787.36
  6. Step 6: Final answer
    x = 568,751.56

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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.