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Finding the Fourth Proportional to 277,321.56, 416,071.38 and 192,291

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Solution

The fourth proportional to 277,321.56, 416,071.38 and 192,291 is: 288,498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,321.56 : 416,071.38 = 192,291 : x
  2. Step 2: Convert to fraction form
    277,321.56/416,071.38 = 192,291/x
  3. Step 3: Cross multiply
    277,321.56x = 416,071.38 × 192,291
  4. Step 4: Simplify right side
    277,321.56x = 80,006,781,731.58
  5. Step 5: Solve for x
    x = 80,006,781,731.58/277,321.56
  6. Step 6: Final answer
    x = 288,498.24

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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.