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Finding the Fourth Proportional to 327,063.80, 490,231.20 and 127,317.80

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Solution

The fourth proportional to 327,063.80, 490,231.20 and 127,317.80 is: 190,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,063.80 : 490,231.20 = 127,317.80 : x
  2. Step 2: Convert to fraction form
    327,063.80/490,231.20 = 127,317.80/x
  3. Step 3: Cross multiply
    327,063.80x = 490,231.20 × 127,317.80
  4. Step 4: Simplify right side
    327,063.80x = 62,415,157,875.36
  5. Step 5: Solve for x
    x = 62,415,157,875.36/327,063.80
  6. Step 6: Final answer
    x = 190,834.81

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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.