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Finding the Fourth Proportional to 274,886.42, 414,202.00 and 226,059.98

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Solution

The fourth proportional to 274,886.42, 414,202.00 and 226,059.98 is: 340,629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,886.42 : 414,202.00 = 226,059.98 : x
  2. Step 2: Convert to fraction form
    274,886.42/414,202.00 = 226,059.98/x
  3. Step 3: Cross multiply
    274,886.42x = 414,202.00 × 226,059.98
  4. Step 4: Simplify right side
    274,886.42x = 93,634,494,705.66
  5. Step 5: Solve for x
    x = 93,634,494,705.66/274,886.42
  6. Step 6: Final answer
    x = 340,629.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.