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Finding the Fourth Proportional to 277,743, 416,634 and 111,531

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Solution

The fourth proportional to 277,743, 416,634 and 111,531 is: 167,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,743 : 416,634 = 111,531 : x
  2. Step 2: Convert to fraction form
    277,743/416,634 = 111,531/x
  3. Step 3: Cross multiply
    277,743x = 416,634 × 111,531
  4. Step 4: Simplify right side
    277,743x = 46,467,606,654
  5. Step 5: Solve for x
    x = 46,467,606,654/277,743
  6. Step 6: Final answer
    x = 167,304.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.