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Finding the Fourth Proportional to 277,819.55, 416,729.78 and 67,457.48

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Solution

The fourth proportional to 277,819.55, 416,729.78 and 67,457.48 is: 101,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,819.55 : 416,729.78 = 67,457.48 : x
  2. Step 2: Convert to fraction form
    277,819.55/416,729.78 = 67,457.48/x
  3. Step 3: Cross multiply
    277,819.55x = 416,729.78 × 67,457.48
  4. Step 4: Simplify right side
    277,819.55x = 28,111,540,799.75
  5. Step 5: Solve for x
    x = 28,111,540,799.75/277,819.55
  6. Step 6: Final answer
    x = 101,186.33

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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.