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Finding the Fourth Proportional to 277,697.57, 416,546.42 and 67,335.48

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Solution

The fourth proportional to 277,697.57, 416,546.42 and 67,335.48 is: 101,003.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,697.57 : 416,546.42 = 67,335.48 : x
  2. Step 2: Convert to fraction form
    277,697.57/416,546.42 = 67,335.48/x
  3. Step 3: Cross multiply
    277,697.57x = 416,546.42 × 67,335.48
  4. Step 4: Simplify right side
    277,697.57x = 28,048,352,796.30
  5. Step 5: Solve for x
    x = 28,048,352,796.30/277,697.57
  6. Step 6: Final answer
    x = 101,003.24

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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.