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Finding the Fourth Proportional to 412,751.88, 568,826.30 and 321,964.04

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Solution

The fourth proportional to 412,751.88, 568,826.30 and 321,964.04 is: 443,708.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,751.88 : 568,826.30 = 321,964.04 : x
  2. Step 2: Convert to fraction form
    412,751.88/568,826.30 = 321,964.04/x
  3. Step 3: Cross multiply
    412,751.88x = 568,826.30 × 321,964.04
  4. Step 4: Simplify right side
    412,751.88x = 183,141,615,833.23
  5. Step 5: Solve for x
    x = 183,141,615,833.23/412,751.88
  6. Step 6: Final answer
    x = 443,708.74

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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.