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Finding the Fourth Proportional to 509,310.40, 764,781.60 and 404,996.80

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Solution

The fourth proportional to 509,310.40, 764,781.60 and 404,996.80 is: 608,144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,310.40 : 764,781.60 = 404,996.80 : x
  2. Step 2: Convert to fraction form
    509,310.40/764,781.60 = 404,996.80/x
  3. Step 3: Cross multiply
    509,310.40x = 764,781.60 × 404,996.80
  4. Step 4: Simplify right side
    509,310.40x = 309,734,100,698.88
  5. Step 5: Solve for x
    x = 309,734,100,698.88/509,310.40
  6. Step 6: Final answer
    x = 608,144.07

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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.