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Finding the Fourth Proportional to 286,846.35, 395,938.23 and 196,167.86

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Solution

The fourth proportional to 286,846.35, 395,938.23 and 196,167.86 is: 270,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,846.35 : 395,938.23 = 196,167.86 : x
  2. Step 2: Convert to fraction form
    286,846.35/395,938.23 = 196,167.86/x
  3. Step 3: Cross multiply
    286,846.35x = 395,938.23 × 196,167.86
  4. Step 4: Simplify right side
    286,846.35x = 77,670,354,040.74
  5. Step 5: Solve for x
    x = 77,670,354,040.74/286,846.35
  6. Step 6: Final answer
    x = 270,773.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.