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Finding the Fourth Proportional to 322,162.08, 444,596.16 and 178,933

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Solution

The fourth proportional to 322,162.08, 444,596.16 and 178,933 is: 246,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,162.08 : 444,596.16 = 178,933 : x
  2. Step 2: Convert to fraction form
    322,162.08/444,596.16 = 178,933/x
  3. Step 3: Cross multiply
    322,162.08x = 444,596.16 × 178,933
  4. Step 4: Simplify right side
    322,162.08x = 79,552,924,697.28
  5. Step 5: Solve for x
    x = 79,552,924,697.28/322,162.08
  6. Step 6: Final answer
    x = 246,934.48

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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.