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Finding the Fourth Proportional to 395,704.14, 546,099.42 and 223,638

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Solution

The fourth proportional to 395,704.14, 546,099.42 and 223,638 is: 308,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,704.14 : 546,099.42 = 223,638 : x
  2. Step 2: Convert to fraction form
    395,704.14/546,099.42 = 223,638/x
  3. Step 3: Cross multiply
    395,704.14x = 546,099.42 × 223,638
  4. Step 4: Simplify right side
    395,704.14x = 122,128,582,089.96
  5. Step 5: Solve for x
    x = 122,128,582,089.96/395,704.14
  6. Step 6: Final answer
    x = 308,636.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.