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Finding the Fourth Proportional to 277,153.80, 414,692.70 and 197,376.20

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Solution

The fourth proportional to 277,153.80, 414,692.70 and 197,376.20 is: 295,325.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,153.80 : 414,692.70 = 197,376.20 : x
  2. Step 2: Convert to fraction form
    277,153.80/414,692.70 = 197,376.20/x
  3. Step 3: Cross multiply
    277,153.80x = 414,692.70 × 197,376.20
  4. Step 4: Simplify right side
    277,153.80x = 81,850,469,293.74
  5. Step 5: Solve for x
    x = 81,850,469,293.74/277,153.80
  6. Step 6: Final answer
    x = 295,325.08

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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.