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Finding the Fourth Proportional to 290,625.14, 401,098.56 and 163,298

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Solution

The fourth proportional to 290,625.14, 401,098.56 and 163,298 is: 225,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,625.14 : 401,098.56 = 163,298 : x
  2. Step 2: Convert to fraction form
    290,625.14/401,098.56 = 163,298/x
  3. Step 3: Cross multiply
    290,625.14x = 401,098.56 × 163,298
  4. Step 4: Simplify right side
    290,625.14x = 65,498,592,650.88
  5. Step 5: Solve for x
    x = 65,498,592,650.88/290,625.14
  6. Step 6: Final answer
    x = 225,371.39

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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.