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Finding the Fourth Proportional to 322,158.06, 444,590.64 and 178,929

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Solution

The fourth proportional to 322,158.06, 444,590.64 and 178,929 is: 246,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,158.06 : 444,590.64 = 178,929 : x
  2. Step 2: Convert to fraction form
    322,158.06/444,590.64 = 178,929/x
  3. Step 3: Cross multiply
    322,158.06x = 444,590.64 × 178,929
  4. Step 4: Simplify right side
    322,158.06x = 79,550,158,624.56
  5. Step 5: Solve for x
    x = 79,550,158,624.56/322,158.06
  6. Step 6: Final answer
    x = 246,928.97

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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.