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Finding the Fourth Proportional to 277,620.90, 383,116.36 and 150,296.46

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Solution

The fourth proportional to 277,620.90, 383,116.36 and 150,296.46 is: 207,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,620.90 : 383,116.36 = 150,296.46 : x
  2. Step 2: Convert to fraction form
    277,620.90/383,116.36 = 150,296.46/x
  3. Step 3: Cross multiply
    277,620.90x = 383,116.36 × 150,296.46
  4. Step 4: Simplify right side
    277,620.90x = 57,581,032,676.09
  5. Step 5: Solve for x
    x = 57,581,032,676.09/277,620.90
  6. Step 6: Final answer
    x = 207,408.85

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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.