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Finding the Fourth Proportional to 298,958.44, 412,572.59 and 178,083.22

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Solution

The fourth proportional to 298,958.44, 412,572.59 and 178,083.22 is: 245,760.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,958.44 : 412,572.59 = 178,083.22 : x
  2. Step 2: Convert to fraction form
    298,958.44/412,572.59 = 178,083.22/x
  3. Step 3: Cross multiply
    298,958.44x = 412,572.59 × 178,083.22
  4. Step 4: Simplify right side
    298,958.44x = 73,472,254,420.52
  5. Step 5: Solve for x
    x = 73,472,254,420.52/298,958.44
  6. Step 6: Final answer
    x = 245,760.76

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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.