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Finding the Fourth Proportional to 277,770.85, 383,388.52 and 197,223.64

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Solution

The fourth proportional to 277,770.85, 383,388.52 and 197,223.64 is: 272,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,770.85 : 383,388.52 = 197,223.64 : x
  2. Step 2: Convert to fraction form
    277,770.85/383,388.52 = 197,223.64/x
  3. Step 3: Cross multiply
    277,770.85x = 383,388.52 × 197,223.64
  4. Step 4: Simplify right side
    277,770.85x = 75,613,279,448.61
  5. Step 5: Solve for x
    x = 75,613,279,448.61/277,770.85
  6. Step 6: Final answer
    x = 272,214.60

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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.