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Finding the Fourth Proportional to 449,300.97, 673,726.10 and 149,676.21

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Solution

The fourth proportional to 449,300.97, 673,726.10 and 149,676.21 is: 224,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,300.97 : 673,726.10 = 149,676.21 : x
  2. Step 2: Convert to fraction form
    449,300.97/673,726.10 = 149,676.21/x
  3. Step 3: Cross multiply
    449,300.97x = 673,726.10 × 149,676.21
  4. Step 4: Simplify right side
    449,300.97x = 100,840,768,477.70
  5. Step 5: Solve for x
    x = 100,840,768,477.70/449,300.97
  6. Step 6: Final answer
    x = 224,439.24

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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.