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Finding the Fourth Proportional to 314,974.98, 434,665.44 and 171,735.39

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Solution

The fourth proportional to 314,974.98, 434,665.44 and 171,735.39 is: 236,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,974.98 : 434,665.44 = 171,735.39 : x
  2. Step 2: Convert to fraction form
    314,974.98/434,665.44 = 171,735.39/x
  3. Step 3: Cross multiply
    314,974.98x = 434,665.44 × 171,735.39
  4. Step 4: Simplify right side
    314,974.98x = 74,647,438,857.92
  5. Step 5: Solve for x
    x = 74,647,438,857.92/314,974.98
  6. Step 6: Final answer
    x = 236,994.82

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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.