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Finding the Fourth Proportional to 415,523.20, 623,317.20 and 178,873.60

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Solution

The fourth proportional to 415,523.20, 623,317.20 and 178,873.60 is: 268,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,523.20 : 623,317.20 = 178,873.60 : x
  2. Step 2: Convert to fraction form
    415,523.20/623,317.20 = 178,873.60/x
  3. Step 3: Cross multiply
    415,523.20x = 623,317.20 × 178,873.60
  4. Step 4: Simplify right side
    415,523.20x = 111,494,991,505.92
  5. Step 5: Solve for x
    x = 111,494,991,505.92/415,523.20
  6. Step 6: Final answer
    x = 268,324.35

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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.