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Finding the Fourth Proportional to 277,219.80, 414,791.70 and 197,442.20

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Solution

The fourth proportional to 277,219.80, 414,791.70 and 197,442.20 is: 295,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,219.80 : 414,791.70 = 197,442.20 : x
  2. Step 2: Convert to fraction form
    277,219.80/414,791.70 = 197,442.20/x
  3. Step 3: Cross multiply
    277,219.80x = 414,791.70 × 197,442.20
  4. Step 4: Simplify right side
    277,219.80x = 81,897,385,789.74
  5. Step 5: Solve for x
    x = 81,897,385,789.74/277,219.80
  6. Step 6: Final answer
    x = 295,424.01

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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.