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Finding the Fourth Proportional to 295,688.56, 408,051.48 and 161,555.44

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Solution

The fourth proportional to 295,688.56, 408,051.48 and 161,555.44 is: 222,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,688.56 : 408,051.48 = 161,555.44 : x
  2. Step 2: Convert to fraction form
    295,688.56/408,051.48 = 161,555.44/x
  3. Step 3: Cross multiply
    295,688.56x = 408,051.48 × 161,555.44
  4. Step 4: Simplify right side
    295,688.56x = 65,922,936,394.05
  5. Step 5: Solve for x
    x = 65,922,936,394.05/295,688.56
  6. Step 6: Final answer
    x = 222,947.20

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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.