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Finding the Fourth Proportional to 322,057.40, 482,697.30 and 164,204.60

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Solution

The fourth proportional to 322,057.40, 482,697.30 and 164,204.60 is: 246,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,057.40 : 482,697.30 = 164,204.60 : x
  2. Step 2: Convert to fraction form
    322,057.40/482,697.30 = 164,204.60/x
  3. Step 3: Cross multiply
    322,057.40x = 482,697.30 × 164,204.60
  4. Step 4: Simplify right side
    322,057.40x = 79,261,117,067.58
  5. Step 5: Solve for x
    x = 79,261,117,067.58/322,057.40
  6. Step 6: Final answer
    x = 246,108.67

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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.