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Finding the Fourth Proportional to 295,541.50, 407,847.27 and 161,405.50

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Solution

The fourth proportional to 295,541.50, 407,847.27 and 161,405.50 is: 222,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,541.50 : 407,847.27 = 161,405.50 : x
  2. Step 2: Convert to fraction form
    295,541.50/407,847.27 = 161,405.50/x
  3. Step 3: Cross multiply
    295,541.50x = 407,847.27 × 161,405.50
  4. Step 4: Simplify right side
    295,541.50x = 65,828,792,537.99
  5. Step 5: Solve for x
    x = 65,828,792,537.99/295,541.50
  6. Step 6: Final answer
    x = 222,739.59

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Why These Related Problems?

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