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Finding the Fourth Proportional to 344,806.67, 475,821.27 and 189,743.51

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Solution

The fourth proportional to 344,806.67, 475,821.27 and 189,743.51 is: 261,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,806.67 : 475,821.27 = 189,743.51 : x
  2. Step 2: Convert to fraction form
    344,806.67/475,821.27 = 189,743.51/x
  3. Step 3: Cross multiply
    344,806.67x = 475,821.27 × 189,743.51
  4. Step 4: Simplify right side
    344,806.67x = 90,283,999,092.01
  5. Step 5: Solve for x
    x = 90,283,999,092.01/344,806.67
  6. Step 6: Final answer
    x = 261,839.48

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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.