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Finding the Fourth Proportional to 277,578.05, 416,333.41 and 77,914.49

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Solution

The fourth proportional to 277,578.05, 416,333.41 and 77,914.49 is: 116,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,578.05 : 416,333.41 = 77,914.49 : x
  2. Step 2: Convert to fraction form
    277,578.05/416,333.41 = 77,914.49/x
  3. Step 3: Cross multiply
    277,578.05x = 416,333.41 × 77,914.49
  4. Step 4: Simplify right side
    277,578.05x = 32,438,403,033.66
  5. Step 5: Solve for x
    x = 32,438,403,033.66/277,578.05
  6. Step 6: Final answer
    x = 116,862.28

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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.