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Finding the Fourth Proportional to 277,744.44, 383,310.93 and 156,907.91

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Solution

The fourth proportional to 277,744.44, 383,310.93 and 156,907.91 is: 216,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,744.44 : 383,310.93 = 156,907.91 : x
  2. Step 2: Convert to fraction form
    277,744.44/383,310.93 = 156,907.91/x
  3. Step 3: Cross multiply
    277,744.44x = 383,310.93 × 156,907.91
  4. Step 4: Simplify right side
    277,744.44x = 60,144,517,375.08
  5. Step 5: Solve for x
    x = 60,144,517,375.08/277,744.44
  6. Step 6: Final answer
    x = 216,546.25

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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.