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Finding the Fourth Proportional to 277,104.80, 414,619.24 and 197,327.16

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Solution

The fourth proportional to 277,104.80, 414,619.24 and 197,327.16 is: 295,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,104.80 : 414,619.24 = 197,327.16 : x
  2. Step 2: Convert to fraction form
    277,104.80/414,619.24 = 197,327.16/x
  3. Step 3: Cross multiply
    277,104.80x = 414,619.24 × 197,327.16
  4. Step 4: Simplify right side
    277,104.80x = 81,815,637,110.56
  5. Step 5: Solve for x
    x = 81,815,637,110.56/277,104.80
  6. Step 6: Final answer
    x = 295,251.61

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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.