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Finding the Fourth Proportional to 446,202, 669,408.84 and 150,714

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Solution

The fourth proportional to 446,202, 669,408.84 and 150,714 is: 226,106.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,202 : 669,408.84 = 150,714 : x
  2. Step 2: Convert to fraction form
    446,202/669,408.84 = 150,714/x
  3. Step 3: Cross multiply
    446,202x = 669,408.84 × 150,714
  4. Step 4: Simplify right side
    446,202x = 100,889,283,911.76
  5. Step 5: Solve for x
    x = 100,889,283,911.76/446,202
  6. Step 6: Final answer
    x = 226,106.75

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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.