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Finding the Fourth Proportional to 394,174.53, 543,960.81 and 212,886.50

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Solution

The fourth proportional to 394,174.53, 543,960.81 and 212,886.50 is: 293,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,174.53 : 543,960.81 = 212,886.50 : x
  2. Step 2: Convert to fraction form
    394,174.53/543,960.81 = 212,886.50/x
  3. Step 3: Cross multiply
    394,174.53x = 543,960.81 × 212,886.50
  4. Step 4: Simplify right side
    394,174.53x = 115,801,910,258.26
  5. Step 5: Solve for x
    x = 115,801,910,258.26/394,174.53
  6. Step 6: Final answer
    x = 293,783.34

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1.5x scale

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.