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Finding the Fourth Proportional to 324,215.84, 486,494.94 and 230,054.42

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Solution

The fourth proportional to 324,215.84, 486,494.94 and 230,054.42 is: 345,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,215.84 : 486,494.94 = 230,054.42 : x
  2. Step 2: Convert to fraction form
    324,215.84/486,494.94 = 230,054.42/x
  3. Step 3: Cross multiply
    324,215.84x = 486,494.94 × 230,054.42
  4. Step 4: Simplify right side
    324,215.84x = 111,920,311,254.64
  5. Step 5: Solve for x
    x = 111,920,311,254.64/324,215.84
  6. Step 6: Final answer
    x = 345,203.09

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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.