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Finding the Fourth Proportional to 284,858.94, 392,845.23 and 244,559.82

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Solution

The fourth proportional to 284,858.94, 392,845.23 and 244,559.82 is: 337,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,858.94 : 392,845.23 = 244,559.82 : x
  2. Step 2: Convert to fraction form
    284,858.94/392,845.23 = 244,559.82/x
  3. Step 3: Cross multiply
    284,858.94x = 392,845.23 × 244,559.82
  4. Step 4: Simplify right side
    284,858.94x = 96,074,158,736.66
  5. Step 5: Solve for x
    x = 96,074,158,736.66/284,858.94
  6. Step 6: Final answer
    x = 337,269.24

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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.