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Finding the Fourth Proportional to 344,808.49, 475,828.25 and 199,620.42

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Solution

The fourth proportional to 344,808.49, 475,828.25 and 199,620.42 is: 275,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,808.49 : 475,828.25 = 199,620.42 : x
  2. Step 2: Convert to fraction form
    344,808.49/475,828.25 = 199,620.42/x
  3. Step 3: Cross multiply
    344,808.49x = 475,828.25 × 199,620.42
  4. Step 4: Simplify right side
    344,808.49x = 94,985,036,302.44
  5. Step 5: Solve for x
    x = 94,985,036,302.44/344,808.49
  6. Step 6: Final answer
    x = 275,471.86

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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.