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Finding the Fourth Proportional to 414,063.06, 621,064.59 and 110,433.78

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Solution

The fourth proportional to 414,063.06, 621,064.59 and 110,433.78 is: 165,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,063.06 : 621,064.59 = 110,433.78 : x
  2. Step 2: Convert to fraction form
    414,063.06/621,064.59 = 110,433.78/x
  3. Step 3: Cross multiply
    414,063.06x = 621,064.59 × 110,433.78
  4. Step 4: Simplify right side
    414,063.06x = 68,586,510,297.85
  5. Step 5: Solve for x
    x = 68,586,510,297.85/414,063.06
  6. Step 6: Final answer
    x = 165,642.67

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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.