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Finding the Fourth Proportional to 321,694.98, 482,228.67 and 153,170.03

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Solution

The fourth proportional to 321,694.98, 482,228.67 and 153,170.03 is: 229,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,694.98 : 482,228.67 = 153,170.03 : x
  2. Step 2: Convert to fraction form
    321,694.98/482,228.67 = 153,170.03/x
  3. Step 3: Cross multiply
    321,694.98x = 482,228.67 × 153,170.03
  4. Step 4: Simplify right side
    321,694.98x = 73,862,979,850.76
  5. Step 5: Solve for x
    x = 73,862,979,850.76/321,694.98
  6. Step 6: Final answer
    x = 229,605.63

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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.