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Finding the Fourth Proportional to 324,008.40, 486,231.30 and 211,414.35

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Solution

The fourth proportional to 324,008.40, 486,231.30 and 211,414.35 is: 317,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,008.40 : 486,231.30 = 211,414.35 : x
  2. Step 2: Convert to fraction form
    324,008.40/486,231.30 = 211,414.35/x
  3. Step 3: Cross multiply
    324,008.40x = 486,231.30 × 211,414.35
  4. Step 4: Simplify right side
    324,008.40x = 102,796,274,239.16
  5. Step 5: Solve for x
    x = 102,796,274,239.16/324,008.40
  6. Step 6: Final answer
    x = 317,264.23

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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.