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Finding the Fourth Proportional to 308,992.54, 463,788.46 and 149,181.16

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Solution

The fourth proportional to 308,992.54, 463,788.46 and 149,181.16 is: 223,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,992.54 : 463,788.46 = 149,181.16 : x
  2. Step 2: Convert to fraction form
    308,992.54/463,788.46 = 149,181.16/x
  3. Step 3: Cross multiply
    308,992.54x = 463,788.46 × 149,181.16
  4. Step 4: Simplify right side
    308,992.54x = 69,188,499,484.42
  5. Step 5: Solve for x
    x = 69,188,499,484.42/308,992.54
  6. Step 6: Final answer
    x = 223,916.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.