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Finding the Fourth Proportional to 393,194.25, 589,641.50 and 140,427.54

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Solution

The fourth proportional to 393,194.25, 589,641.50 and 140,427.54 is: 210,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,194.25 : 589,641.50 = 140,427.54 : x
  2. Step 2: Convert to fraction form
    393,194.25/589,641.50 = 140,427.54/x
  3. Step 3: Cross multiply
    393,194.25x = 589,641.50 × 140,427.54
  4. Step 4: Simplify right side
    393,194.25x = 82,801,905,677.98
  5. Step 5: Solve for x
    x = 82,801,905,677.98/393,194.25
  6. Step 6: Final answer
    x = 210,587.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.