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Finding the Fourth Proportional to 277,709.80, 382,952.84 and 237,556.48

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Solution

The fourth proportional to 277,709.80, 382,952.84 and 237,556.48 is: 327,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,709.80 : 382,952.84 = 237,556.48 : x
  2. Step 2: Convert to fraction form
    277,709.80/382,952.84 = 237,556.48/x
  3. Step 3: Cross multiply
    277,709.80x = 382,952.84 × 237,556.48
  4. Step 4: Simplify right side
    277,709.80x = 90,972,928,676.40
  5. Step 5: Solve for x
    x = 90,972,928,676.40/277,709.80
  6. Step 6: Final answer
    x = 327,582.71

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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.