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Finding the Fourth Proportional to 298,995.48, 412,713.72 and 178,174.68

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Solution

The fourth proportional to 298,995.48, 412,713.72 and 178,174.68 is: 245,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,995.48 : 412,713.72 = 178,174.68 : x
  2. Step 2: Convert to fraction form
    298,995.48/412,713.72 = 178,174.68/x
  3. Step 3: Cross multiply
    298,995.48x = 412,713.72 × 178,174.68
  4. Step 4: Simplify right side
    298,995.48x = 73,535,134,992.61
  5. Step 5: Solve for x
    x = 73,535,134,992.61/298,995.48
  6. Step 6: Final answer
    x = 245,940.62

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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.