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Finding the Fourth Proportional to 321,937.40, 482,517.30 and 164,084.60

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Solution

The fourth proportional to 321,937.40, 482,517.30 and 164,084.60 is: 245,928.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,937.40 : 482,517.30 = 164,084.60 : x
  2. Step 2: Convert to fraction form
    321,937.40/482,517.30 = 164,084.60/x
  3. Step 3: Cross multiply
    321,937.40x = 482,517.30 × 164,084.60
  4. Step 4: Simplify right side
    321,937.40x = 79,173,658,163.58
  5. Step 5: Solve for x
    x = 79,173,658,163.58/321,937.40
  6. Step 6: Final answer
    x = 245,928.74

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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.