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Finding the Fourth Proportional to 277,830, 416,744.64 and 67,467.60

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Solution

The fourth proportional to 277,830, 416,744.64 and 67,467.60 is: 101,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,830 : 416,744.64 = 67,467.60 : x
  2. Step 2: Convert to fraction form
    277,830/416,744.64 = 67,467.60/x
  3. Step 3: Cross multiply
    277,830x = 416,744.64 × 67,467.60
  4. Step 4: Simplify right side
    277,830x = 28,116,760,673.66
  5. Step 5: Solve for x
    x = 28,116,760,673.66/277,830
  6. Step 6: Final answer
    x = 101,201.31

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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.