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Finding the Fourth Proportional to 454,813.44, 682,222.08 and 297,116.16

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Solution

The fourth proportional to 454,813.44, 682,222.08 and 297,116.16 is: 445,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,813.44 : 682,222.08 = 297,116.16 : x
  2. Step 2: Convert to fraction form
    454,813.44/682,222.08 = 297,116.16/x
  3. Step 3: Cross multiply
    454,813.44x = 682,222.08 × 297,116.16
  4. Step 4: Simplify right side
    454,813.44x = 202,699,204,676.81
  5. Step 5: Solve for x
    x = 202,699,204,676.81/454,813.44
  6. Step 6: Final answer
    x = 445,675.49

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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.