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Finding the Fourth Proportional to 325,842.80, 488,763.20 and 82,683.38

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Solution

The fourth proportional to 325,842.80, 488,763.20 and 82,683.38 is: 124,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,842.80 : 488,763.20 = 82,683.38 : x
  2. Step 2: Convert to fraction form
    325,842.80/488,763.20 = 82,683.38/x
  3. Step 3: Cross multiply
    325,842.80x = 488,763.20 × 82,683.38
  4. Step 4: Simplify right side
    325,842.80x = 40,412,594,824.23
  5. Step 5: Solve for x
    x = 40,412,594,824.23/325,842.80
  6. Step 6: Final answer
    x = 124,024.82

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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.