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Finding the Fourth Proportional to 321,354.20, 482,028.90 and 96,713.64

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Solution

The fourth proportional to 321,354.20, 482,028.90 and 96,713.64 is: 145,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,354.20 : 482,028.90 = 96,713.64 : x
  2. Step 2: Convert to fraction form
    321,354.20/482,028.90 = 96,713.64/x
  3. Step 3: Cross multiply
    321,354.20x = 482,028.90 × 96,713.64
  4. Step 4: Simplify right side
    321,354.20x = 46,618,769,504.20
  5. Step 5: Solve for x
    x = 46,618,769,504.20/321,354.20
  6. Step 6: Final answer
    x = 145,069.74

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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.