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Finding the Fourth Proportional to 397,353.54, 548,551.06 and 306,505.56

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Solution

The fourth proportional to 397,353.54, 548,551.06 and 306,505.56 is: 423,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,353.54 : 548,551.06 = 306,505.56 : x
  2. Step 2: Convert to fraction form
    397,353.54/548,551.06 = 306,505.56/x
  3. Step 3: Cross multiply
    397,353.54x = 548,551.06 × 306,505.56
  4. Step 4: Simplify right side
    397,353.54x = 168,133,949,067.63
  5. Step 5: Solve for x
    x = 168,133,949,067.63/397,353.54
  6. Step 6: Final answer
    x = 423,134.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.