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Finding the Fourth Proportional to 277,659.54, 416,485.62 and 67,299.30

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Solution

The fourth proportional to 277,659.54, 416,485.62 and 67,299.30 is: 100,948.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,659.54 : 416,485.62 = 67,299.30 : x
  2. Step 2: Convert to fraction form
    277,659.54/416,485.62 = 67,299.30/x
  3. Step 3: Cross multiply
    277,659.54x = 416,485.62 × 67,299.30
  4. Step 4: Simplify right side
    277,659.54x = 28,029,190,686.07
  5. Step 5: Solve for x
    x = 28,029,190,686.07/277,659.54
  6. Step 6: Final answer
    x = 100,948.06

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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.