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Finding the Fourth Proportional to 311,115.94, 467,067.77 and 190,877.41

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Solution

The fourth proportional to 311,115.94, 467,067.77 and 190,877.41 is: 286,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,115.94 : 467,067.77 = 190,877.41 : x
  2. Step 2: Convert to fraction form
    311,115.94/467,067.77 = 190,877.41/x
  3. Step 3: Cross multiply
    311,115.94x = 467,067.77 × 190,877.41
  4. Step 4: Simplify right side
    311,115.94x = 89,152,686,577.31
  5. Step 5: Solve for x
    x = 89,152,686,577.31/311,115.94
  6. Step 6: Final answer
    x = 286,557.76

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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.