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Finding the Fourth Proportional to 395,389.50, 591,596.25 and 277,291.26

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Solution

The fourth proportional to 395,389.50, 591,596.25 and 277,291.26 is: 414,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,389.50 : 591,596.25 = 277,291.26 : x
  2. Step 2: Convert to fraction form
    395,389.50/591,596.25 = 277,291.26/x
  3. Step 3: Cross multiply
    395,389.50x = 591,596.25 × 277,291.26
  4. Step 4: Simplify right side
    395,389.50x = 164,044,469,573.78
  5. Step 5: Solve for x
    x = 164,044,469,573.78/395,389.50
  6. Step 6: Final answer
    x = 414,893.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.