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Finding the Fourth Proportional to 446,052, 669,078 and 150,564

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Solution

The fourth proportional to 446,052, 669,078 and 150,564 is: 225,846

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,052 : 669,078 = 150,564 : x
  2. Step 2: Convert to fraction form
    446,052/669,078 = 150,564/x
  3. Step 3: Cross multiply
    446,052x = 669,078 × 150,564
  4. Step 4: Simplify right side
    446,052x = 100,739,059,992
  5. Step 5: Solve for x
    x = 100,739,059,992/446,052
  6. Step 6: Final answer
    x = 225,846

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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.