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Finding the Fourth Proportional to 277,768.85, 383,385.76 and 197,221.64

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Solution

The fourth proportional to 277,768.85, 383,385.76 and 197,221.64 is: 272,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,768.85 : 383,385.76 = 197,221.64 : x
  2. Step 2: Convert to fraction form
    277,768.85/383,385.76 = 197,221.64/x
  3. Step 3: Cross multiply
    277,768.85x = 383,385.76 × 197,221.64
  4. Step 4: Simplify right side
    277,768.85x = 75,611,965,929.86
  5. Step 5: Solve for x
    x = 75,611,965,929.86/277,768.85
  6. Step 6: Final answer
    x = 272,211.83

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1.5x scale

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.