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Finding the Fourth Proportional to 272,022.30, 407,635.05 and 243,942.30

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Solution

The fourth proportional to 272,022.30, 407,635.05 and 243,942.30 is: 365,556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,022.30 : 407,635.05 = 243,942.30 : x
  2. Step 2: Convert to fraction form
    272,022.30/407,635.05 = 243,942.30/x
  3. Step 3: Cross multiply
    272,022.30x = 407,635.05 × 243,942.30
  4. Step 4: Simplify right side
    272,022.30x = 99,439,431,657.62
  5. Step 5: Solve for x
    x = 99,439,431,657.62/272,022.30
  6. Step 6: Final answer
    x = 365,556.18

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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.