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Finding the Fourth Proportional to 398,808.80, 598,213.20 and 162,321.20

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Solution

The fourth proportional to 398,808.80, 598,213.20 and 162,321.20 is: 243,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,808.80 : 598,213.20 = 162,321.20 : x
  2. Step 2: Convert to fraction form
    398,808.80/598,213.20 = 162,321.20/x
  3. Step 3: Cross multiply
    398,808.80x = 598,213.20 × 162,321.20
  4. Step 4: Simplify right side
    398,808.80x = 97,102,684,479.84
  5. Step 5: Solve for x
    x = 97,102,684,479.84/398,808.80
  6. Step 6: Final answer
    x = 243,481.80

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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.