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Finding the Fourth Proportional to 295,980, 408,462.12 and 161,844

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Solution

The fourth proportional to 295,980, 408,462.12 and 161,844 is: 223,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,980 : 408,462.12 = 161,844 : x
  2. Step 2: Convert to fraction form
    295,980/408,462.12 = 161,844/x
  3. Step 3: Cross multiply
    295,980x = 408,462.12 × 161,844
  4. Step 4: Simplify right side
    295,980x = 66,107,143,349.28
  5. Step 5: Solve for x
    x = 66,107,143,349.28/295,980
  6. Step 6: Final answer
    x = 223,350.03

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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.