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Finding the Fourth Proportional to 277,180.80, 414,733.20 and 197,403.20

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Solution

The fourth proportional to 277,180.80, 414,733.20 and 197,403.20 is: 295,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,180.80 : 414,733.20 = 197,403.20 : x
  2. Step 2: Convert to fraction form
    277,180.80/414,733.20 = 197,403.20/x
  3. Step 3: Cross multiply
    277,180.80x = 414,733.20 × 197,403.20
  4. Step 4: Simplify right side
    277,180.80x = 81,869,660,826.24
  5. Step 5: Solve for x
    x = 81,869,660,826.24/277,180.80
  6. Step 6: Final answer
    x = 295,365.55

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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.