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Finding the Fourth Proportional to 284,365.25, 426,546.65 and 115,847.99

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Solution

The fourth proportional to 284,365.25, 426,546.65 and 115,847.99 is: 173,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,365.25 : 426,546.65 = 115,847.99 : x
  2. Step 2: Convert to fraction form
    284,365.25/426,546.65 = 115,847.99/x
  3. Step 3: Cross multiply
    284,365.25x = 426,546.65 × 115,847.99
  4. Step 4: Simplify right side
    284,365.25x = 49,414,572,043.73
  5. Step 5: Solve for x
    x = 49,414,572,043.73/284,365.25
  6. Step 6: Final answer
    x = 173,771.49

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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.