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Finding the Fourth Proportional to 274,806.72, 412,071.60 and 97,288.80

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Solution

The fourth proportional to 274,806.72, 412,071.60 and 97,288.80 is: 145,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,806.72 : 412,071.60 = 97,288.80 : x
  2. Step 2: Convert to fraction form
    274,806.72/412,071.60 = 97,288.80/x
  3. Step 3: Cross multiply
    274,806.72x = 412,071.60 × 97,288.80
  4. Step 4: Simplify right side
    274,806.72x = 40,089,951,478.08
  5. Step 5: Solve for x
    x = 40,089,951,478.08/274,806.72
  6. Step 6: Final answer
    x = 145,884.17

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Why These Related Problems?

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