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Finding the Fourth Proportional to 354,493.20, 531,893.40 and 167,408.40

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Solution

The fourth proportional to 354,493.20, 531,893.40 and 167,408.40 is: 251,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,493.20 : 531,893.40 = 167,408.40 : x
  2. Step 2: Convert to fraction form
    354,493.20/531,893.40 = 167,408.40/x
  3. Step 3: Cross multiply
    354,493.20x = 531,893.40 × 167,408.40
  4. Step 4: Simplify right side
    354,493.20x = 89,043,423,064.56
  5. Step 5: Solve for x
    x = 89,043,423,064.56/354,493.20
  6. Step 6: Final answer
    x = 251,185.14

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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.