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Finding the Fourth Proportional to 414,650.67, 621,730.58 and 161,635.80

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Solution

The fourth proportional to 414,650.67, 621,730.58 and 161,635.80 is: 242,358.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,650.67 : 621,730.58 = 161,635.80 : x
  2. Step 2: Convert to fraction form
    414,650.67/621,730.58 = 161,635.80/x
  3. Step 3: Cross multiply
    414,650.67x = 621,730.58 × 161,635.80
  4. Step 4: Simplify right side
    414,650.67x = 100,493,918,874.59
  5. Step 5: Solve for x
    x = 100,493,918,874.59/414,650.67
  6. Step 6: Final answer
    x = 242,358.03

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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.