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Finding the Fourth Proportional to 288,078.44, 397,548.26 and 159,016.94

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Solution

The fourth proportional to 288,078.44, 397,548.26 and 159,016.94 is: 219,443.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,078.44 : 397,548.26 = 159,016.94 : x
  2. Step 2: Convert to fraction form
    288,078.44/397,548.26 = 159,016.94/x
  3. Step 3: Cross multiply
    288,078.44x = 397,548.26 × 159,016.94
  4. Step 4: Simplify right side
    288,078.44x = 63,216,907,807.52
  5. Step 5: Solve for x
    x = 63,216,907,807.52/288,078.44
  6. Step 6: Final answer
    x = 219,443.38

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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.