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Finding the Fourth Proportional to 297,452.62, 445,418.34 and 164,184.94

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Solution

The fourth proportional to 297,452.62, 445,418.34 and 164,184.94 is: 245,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,452.62 : 445,418.34 = 164,184.94 : x
  2. Step 2: Convert to fraction form
    297,452.62/445,418.34 = 164,184.94/x
  3. Step 3: Cross multiply
    297,452.62x = 445,418.34 × 164,184.94
  4. Step 4: Simplify right side
    297,452.62x = 73,130,983,427.80
  5. Step 5: Solve for x
    x = 73,130,983,427.80/297,452.62
  6. Step 6: Final answer
    x = 245,857.59

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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.