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Finding the Fourth Proportional to 324,692.10, 448,213.05 and 197,408.34

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Solution

The fourth proportional to 324,692.10, 448,213.05 and 197,408.34 is: 272,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,692.10 : 448,213.05 = 197,408.34 : x
  2. Step 2: Convert to fraction form
    324,692.10/448,213.05 = 197,408.34/x
  3. Step 3: Cross multiply
    324,692.10x = 448,213.05 × 197,408.34
  4. Step 4: Simplify right side
    324,692.10x = 88,480,994,166.84
  5. Step 5: Solve for x
    x = 88,480,994,166.84/324,692.10
  6. Step 6: Final answer
    x = 272,507.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.