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Finding the Fourth Proportional to 393,706.56, 543,314.90 and 214,858.56

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Solution

The fourth proportional to 393,706.56, 543,314.90 and 214,858.56 is: 296,504.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,706.56 : 543,314.90 = 214,858.56 : x
  2. Step 2: Convert to fraction form
    393,706.56/543,314.90 = 214,858.56/x
  3. Step 3: Cross multiply
    393,706.56x = 543,314.90 × 214,858.56
  4. Step 4: Simplify right side
    393,706.56x = 116,735,857,040.54
  5. Step 5: Solve for x
    x = 116,735,857,040.54/393,706.56
  6. Step 6: Final answer
    x = 296,504.73

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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.