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Finding the Fourth Proportional to 323,443.14, 485,258.26 and 133,868.46

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Solution

The fourth proportional to 323,443.14, 485,258.26 and 133,868.46 is: 200,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,443.14 : 485,258.26 = 133,868.46 : x
  2. Step 2: Convert to fraction form
    323,443.14/485,258.26 = 133,868.46/x
  3. Step 3: Cross multiply
    323,443.14x = 485,258.26 × 133,868.46
  4. Step 4: Simplify right side
    323,443.14x = 64,960,775,968.48
  5. Step 5: Solve for x
    x = 64,960,775,968.48/323,443.14
  6. Step 6: Final answer
    x = 200,841.41

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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.