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Finding the Fourth Proportional to 397,406.60, 596,109.90 and 187,454.60

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Solution

The fourth proportional to 397,406.60, 596,109.90 and 187,454.60 is: 281,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,406.60 : 596,109.90 = 187,454.60 : x
  2. Step 2: Convert to fraction form
    397,406.60/596,109.90 = 187,454.60/x
  3. Step 3: Cross multiply
    397,406.60x = 596,109.90 × 187,454.60
  4. Step 4: Simplify right side
    397,406.60x = 111,743,542,860.54
  5. Step 5: Solve for x
    x = 111,743,542,860.54/397,406.60
  6. Step 6: Final answer
    x = 281,181.90

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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.