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Finding the Fourth Proportional to 294,990.41, 407,082.96 and 167,657.60

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Solution

The fourth proportional to 294,990.41, 407,082.96 and 167,657.60 is: 231,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,990.41 : 407,082.96 = 167,657.60 : x
  2. Step 2: Convert to fraction form
    294,990.41/407,082.96 = 167,657.60/x
  3. Step 3: Cross multiply
    294,990.41x = 407,082.96 × 167,657.60
  4. Step 4: Simplify right side
    294,990.41x = 68,250,550,039.08
  5. Step 5: Solve for x
    x = 68,250,550,039.08/294,990.41
  6. Step 6: Final answer
    x = 231,365.32

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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.