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Finding the Fourth Proportional to 414,443.85, 621,665.78 and 274,169.67

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Solution

The fourth proportional to 414,443.85, 621,665.78 and 274,169.67 is: 411,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,443.85 : 621,665.78 = 274,169.67 : x
  2. Step 2: Convert to fraction form
    414,443.85/621,665.78 = 274,169.67/x
  3. Step 3: Cross multiply
    414,443.85x = 621,665.78 × 274,169.67
  4. Step 4: Simplify right side
    414,443.85x = 170,441,902,964.35
  5. Step 5: Solve for x
    x = 170,441,902,964.35/414,443.85
  6. Step 6: Final answer
    x = 411,254.51

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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.