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Finding the Fourth Proportional to 451,605.66, 677,453.85 and 119,181.66

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Solution

The fourth proportional to 451,605.66, 677,453.85 and 119,181.66 is: 178,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,605.66 : 677,453.85 = 119,181.66 : x
  2. Step 2: Convert to fraction form
    451,605.66/677,453.85 = 119,181.66/x
  3. Step 3: Cross multiply
    451,605.66x = 677,453.85 × 119,181.66
  4. Step 4: Simplify right side
    451,605.66x = 80,740,074,416.39
  5. Step 5: Solve for x
    x = 80,740,074,416.39/451,605.66
  6. Step 6: Final answer
    x = 178,784.46

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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.