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Finding the Fourth Proportional to 322,053.40, 482,691.30 and 164,200.60

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Solution

The fourth proportional to 322,053.40, 482,691.30 and 164,200.60 is: 246,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,053.40 : 482,691.30 = 164,200.60 : x
  2. Step 2: Convert to fraction form
    322,053.40/482,691.30 = 164,200.60/x
  3. Step 3: Cross multiply
    322,053.40x = 482,691.30 × 164,200.60
  4. Step 4: Simplify right side
    322,053.40x = 79,258,201,074.78
  5. Step 5: Solve for x
    x = 79,258,201,074.78/322,053.40
  6. Step 6: Final answer
    x = 246,102.67

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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.