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Finding the Fourth Proportional to 298,958.19, 412,572.24 and 178,082.97

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Solution

The fourth proportional to 298,958.19, 412,572.24 and 178,082.97 is: 245,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,958.19 : 412,572.24 = 178,082.97 : x
  2. Step 2: Convert to fraction form
    298,958.19/412,572.24 = 178,082.97/x
  3. Step 3: Cross multiply
    298,958.19x = 412,572.24 × 178,082.97
  4. Step 4: Simplify right side
    298,958.19x = 73,472,089,838.75
  5. Step 5: Solve for x
    x = 73,472,089,838.75/298,958.19
  6. Step 6: Final answer
    x = 245,760.42

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1.5x scale

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.