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Finding the Fourth Proportional to 318,940.20, 478,410.30 and 231,022.80

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Solution

The fourth proportional to 318,940.20, 478,410.30 and 231,022.80 is: 346,534.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,940.20 : 478,410.30 = 231,022.80 : x
  2. Step 2: Convert to fraction form
    318,940.20/478,410.30 = 231,022.80/x
  3. Step 3: Cross multiply
    318,940.20x = 478,410.30 × 231,022.80
  4. Step 4: Simplify right side
    318,940.20x = 110,523,687,054.84
  5. Step 5: Solve for x
    x = 110,523,687,054.84/318,940.20
  6. Step 6: Final answer
    x = 346,534.20

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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.