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Finding the Fourth Proportional to 277,571.48, 416,348.26 and 117,604.68

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Solution

The fourth proportional to 277,571.48, 416,348.26 and 117,604.68 is: 176,403.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,571.48 : 416,348.26 = 117,604.68 : x
  2. Step 2: Convert to fraction form
    277,571.48/416,348.26 = 117,604.68/x
  3. Step 3: Cross multiply
    277,571.48x = 416,348.26 × 117,604.68
  4. Step 4: Simplify right side
    277,571.48x = 48,964,503,885.86
  5. Step 5: Solve for x
    x = 48,964,503,885.86/277,571.48
  6. Step 6: Final answer
    x = 176,403.22

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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.