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Finding the Fourth Proportional to 304,532.06, 420,157.62 and 177,183.05

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Solution

The fourth proportional to 304,532.06, 420,157.62 and 177,183.05 is: 244,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,532.06 : 420,157.62 = 177,183.05 : x
  2. Step 2: Convert to fraction form
    304,532.06/420,157.62 = 177,183.05/x
  3. Step 3: Cross multiply
    304,532.06x = 420,157.62 × 177,183.05
  4. Step 4: Simplify right side
    304,532.06x = 74,444,806,491.55
  5. Step 5: Solve for x
    x = 74,444,806,491.55/304,532.06
  6. Step 6: Final answer
    x = 244,456.39

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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.