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Finding the Fourth Proportional to 398,794.62, 598,191.93 and 162,081.84

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Solution

The fourth proportional to 398,794.62, 598,191.93 and 162,081.84 is: 243,122.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,794.62 : 598,191.93 = 162,081.84 : x
  2. Step 2: Convert to fraction form
    398,794.62/598,191.93 = 162,081.84/x
  3. Step 3: Cross multiply
    398,794.62x = 598,191.93 × 162,081.84
  4. Step 4: Simplify right side
    398,794.62x = 96,956,048,687.55
  5. Step 5: Solve for x
    x = 96,956,048,687.55/398,794.62
  6. Step 6: Final answer
    x = 243,122.76

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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.