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Finding the Fourth Proportional to 509,206.40, 764,625.60 and 404,892.80

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Solution

The fourth proportional to 509,206.40, 764,625.60 and 404,892.80 is: 607,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,206.40 : 764,625.60 = 404,892.80 : x
  2. Step 2: Convert to fraction form
    509,206.40/764,625.60 = 404,892.80/x
  3. Step 3: Cross multiply
    509,206.40x = 764,625.60 × 404,892.80
  4. Step 4: Simplify right side
    509,206.40x = 309,591,400,135.68
  5. Step 5: Solve for x
    x = 309,591,400,135.68/509,206.40
  6. Step 6: Final answer
    x = 607,988.04

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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.