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Finding the Fourth Proportional to 295,943.24, 408,395.52 and 161,807.24

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Solution

The fourth proportional to 295,943.24, 408,395.52 and 161,807.24 is: 223,290.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,943.24 : 408,395.52 = 161,807.24 : x
  2. Step 2: Convert to fraction form
    295,943.24/408,395.52 = 161,807.24/x
  3. Step 3: Cross multiply
    295,943.24x = 408,395.52 × 161,807.24
  4. Step 4: Simplify right side
    295,943.24x = 66,081,351,919.56
  5. Step 5: Solve for x
    x = 66,081,351,919.56/295,943.24
  6. Step 6: Final answer
    x = 223,290.63

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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.