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Finding the Fourth Proportional to 764,999.40, 1,147,499.10 and 682,330.80

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Solution

The fourth proportional to 764,999.40, 1,147,499.10 and 682,330.80 is: 1,023,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,999.40 : 1,147,499.10 = 682,330.80 : x
  2. Step 2: Convert to fraction form
    764,999.40/1,147,499.10 = 682,330.80/x
  3. Step 3: Cross multiply
    764,999.40x = 1,147,499.10 × 682,330.80
  4. Step 4: Simplify right side
    764,999.40x = 782,973,978,902.28
  5. Step 5: Solve for x
    x = 782,973,978,902.28/764,999.40
  6. Step 6: Final answer
    x = 1,023,496.20

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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.