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Finding the Fourth Proportional to 302,556.78, 417,524.82 and 166,587.84

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Solution

The fourth proportional to 302,556.78, 417,524.82 and 166,587.84 is: 229,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,556.78 : 417,524.82 = 166,587.84 : x
  2. Step 2: Convert to fraction form
    302,556.78/417,524.82 = 166,587.84/x
  3. Step 3: Cross multiply
    302,556.78x = 417,524.82 × 166,587.84
  4. Step 4: Simplify right side
    302,556.78x = 69,554,557,910.19
  5. Step 5: Solve for x
    x = 69,554,557,910.19/302,556.78
  6. Step 6: Final answer
    x = 229,889.27

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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.