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Finding the Fourth Proportional to 454,765.89, 682,150.86 and 117,782.60

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Solution

The fourth proportional to 454,765.89, 682,150.86 and 117,782.60 is: 176,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,765.89 : 682,150.86 = 117,782.60 : x
  2. Step 2: Convert to fraction form
    454,765.89/682,150.86 = 117,782.60/x
  3. Step 3: Cross multiply
    454,765.89x = 682,150.86 × 117,782.60
  4. Step 4: Simplify right side
    454,765.89x = 80,345,501,294.12
  5. Step 5: Solve for x
    x = 80,345,501,294.12/454,765.89
  6. Step 6: Final answer
    x = 176,674.42

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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.