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Finding the Fourth Proportional to 321,340.40, 479,137.72 and 312,512.48

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Solution

The fourth proportional to 321,340.40, 479,137.72 and 312,512.48 is: 465,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,340.40 : 479,137.72 = 312,512.48 : x
  2. Step 2: Convert to fraction form
    321,340.40/479,137.72 = 312,512.48/x
  3. Step 3: Cross multiply
    321,340.40x = 479,137.72 × 312,512.48
  4. Step 4: Simplify right side
    321,340.40x = 149,736,517,138.75
  5. Step 5: Solve for x
    x = 149,736,517,138.75/321,340.40
  6. Step 6: Final answer
    x = 465,974.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.