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Finding the Fourth Proportional to 321,942.40, 482,978.40 and 269,713.60

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Solution

The fourth proportional to 321,942.40, 482,978.40 and 269,713.60 is: 404,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,942.40 : 482,978.40 = 269,713.60 : x
  2. Step 2: Convert to fraction form
    321,942.40/482,978.40 = 269,713.60/x
  3. Step 3: Cross multiply
    321,942.40x = 482,978.40 × 269,713.60
  4. Step 4: Simplify right side
    321,942.40x = 130,265,842,986.24
  5. Step 5: Solve for x
    x = 130,265,842,986.24/321,942.40
  6. Step 6: Final answer
    x = 404,624.69

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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.