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Finding the Fourth Proportional to 321,578.49, 482,348.25 and 144,037.83

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Solution

The fourth proportional to 321,578.49, 482,348.25 and 144,037.83 is: 216,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,578.49 : 482,348.25 = 144,037.83 : x
  2. Step 2: Convert to fraction form
    321,578.49/482,348.25 = 144,037.83/x
  3. Step 3: Cross multiply
    321,578.49x = 482,348.25 × 144,037.83
  4. Step 4: Simplify right side
    321,578.49x = 69,476,395,234.30
  5. Step 5: Solve for x
    x = 69,476,395,234.30/321,578.49
  6. Step 6: Final answer
    x = 216,048.02

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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.