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Finding the Fourth Proportional to 321,960.98, 482,744.64 and 153,532.82

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Solution

The fourth proportional to 321,960.98, 482,744.64 and 153,532.82 is: 230,205.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,960.98 : 482,744.64 = 153,532.82 : x
  2. Step 2: Convert to fraction form
    321,960.98/482,744.64 = 153,532.82/x
  3. Step 3: Cross multiply
    321,960.98x = 482,744.64 × 153,532.82
  4. Step 4: Simplify right side
    321,960.98x = 74,117,145,919.08
  5. Step 5: Solve for x
    x = 74,117,145,919.08/321,960.98
  6. Step 6: Final answer
    x = 230,205.37

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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.