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Finding the Fourth Proportional to 394,111.72, 543,679.32 and 232,888.78

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Solution

The fourth proportional to 394,111.72, 543,679.32 and 232,888.78 is: 321,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,111.72 : 543,679.32 = 232,888.78 : x
  2. Step 2: Convert to fraction form
    394,111.72/543,679.32 = 232,888.78/x
  3. Step 3: Cross multiply
    394,111.72x = 543,679.32 × 232,888.78
  4. Step 4: Simplify right side
    394,111.72x = 126,616,813,546.03
  5. Step 5: Solve for x
    x = 126,616,813,546.03/394,111.72
  6. Step 6: Final answer
    x = 321,271.37

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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.