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Finding the Fourth Proportional to 321,846.40, 482,942.40 and 134,876.80

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Solution

The fourth proportional to 321,846.40, 482,942.40 and 134,876.80 is: 202,387.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,846.40 : 482,942.40 = 134,876.80 : x
  2. Step 2: Convert to fraction form
    321,846.40/482,942.40 = 134,876.80/x
  3. Step 3: Cross multiply
    321,846.40x = 482,942.40 × 134,876.80
  4. Step 4: Simplify right side
    321,846.40x = 65,137,725,496.32
  5. Step 5: Solve for x
    x = 65,137,725,496.32/321,846.40
  6. Step 6: Final answer
    x = 202,387.62

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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.