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Finding the Fourth Proportional to 314,556.50, 434,092.92 and 171,316.43

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Solution

The fourth proportional to 314,556.50, 434,092.92 and 171,316.43 is: 236,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,556.50 : 434,092.92 = 171,316.43 : x
  2. Step 2: Convert to fraction form
    314,556.50/434,092.92 = 171,316.43/x
  3. Step 3: Cross multiply
    314,556.50x = 434,092.92 × 171,316.43
  4. Step 4: Simplify right side
    314,556.50x = 74,367,251,563.05
  5. Step 5: Solve for x
    x = 74,367,251,563.05/314,556.50
  6. Step 6: Final answer
    x = 236,419.38

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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.