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Finding the Fourth Proportional to 277,450.44, 416,246.13 and 77,771.67

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Solution

The fourth proportional to 277,450.44, 416,246.13 and 77,771.67 is: 116,677.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,450.44 : 416,246.13 = 77,771.67 : x
  2. Step 2: Convert to fraction form
    277,450.44/416,246.13 = 77,771.67/x
  3. Step 3: Cross multiply
    277,450.44x = 416,246.13 × 77,771.67
  4. Step 4: Simplify right side
    277,450.44x = 32,372,156,661.14
  5. Step 5: Solve for x
    x = 32,372,156,661.14/277,450.44
  6. Step 6: Final answer
    x = 116,677.26

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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.