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Finding the Fourth Proportional to 277,860, 383,446.96 and 150,536.48

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Solution

The fourth proportional to 277,860, 383,446.96 and 150,536.48 is: 207,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,860 : 383,446.96 = 150,536.48 : x
  2. Step 2: Convert to fraction form
    277,860/383,446.96 = 150,536.48/x
  3. Step 3: Cross multiply
    277,860x = 383,446.96 × 150,536.48
  4. Step 4: Simplify right side
    277,860x = 57,722,755,625.10
  5. Step 5: Solve for x
    x = 57,722,755,625.10/277,860
  6. Step 6: Final answer
    x = 207,740.43

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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.