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Finding the Fourth Proportional to 314,906.48, 434,558.52 and 171,663.44

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Solution

The fourth proportional to 314,906.48, 434,558.52 and 171,663.44 is: 236,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,906.48 : 434,558.52 = 171,663.44 : x
  2. Step 2: Convert to fraction form
    314,906.48/434,558.52 = 171,663.44/x
  3. Step 3: Cross multiply
    314,906.48x = 434,558.52 × 171,663.44
  4. Step 4: Simplify right side
    314,906.48x = 74,597,810,424.51
  5. Step 5: Solve for x
    x = 74,597,810,424.51/314,906.48
  6. Step 6: Final answer
    x = 236,888.78

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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.