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Finding the Fourth Proportional to 414,471.22, 621,706.78 and 114,951.79

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Solution

The fourth proportional to 414,471.22, 621,706.78 and 114,951.79 is: 172,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,471.22 : 621,706.78 = 114,951.79 : x
  2. Step 2: Convert to fraction form
    414,471.22/621,706.78 = 114,951.79/x
  3. Step 3: Cross multiply
    414,471.22x = 621,706.78 × 114,951.79
  4. Step 4: Simplify right side
    414,471.22x = 71,466,307,216.14
  5. Step 5: Solve for x
    x = 71,466,307,216.14/414,471.22
  6. Step 6: Final answer
    x = 172,427.67

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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.