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Finding the Fourth Proportional to 1,023,182, 1,412,090.94 and 764,609.96

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Solution

The fourth proportional to 1,023,182, 1,412,090.94 and 764,609.96 is: 1,055,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,182 : 1,412,090.94 = 764,609.96 : x
  2. Step 2: Convert to fraction form
    1,023,182/1,412,090.94 = 764,609.96/x
  3. Step 3: Cross multiply
    1,023,182x = 1,412,090.94 × 764,609.96
  4. Step 4: Simplify right side
    1,023,182x = 1,079,698,797,149.76
  5. Step 5: Solve for x
    x = 1,079,698,797,149.76/1,023,182
  6. Step 6: Final answer
    x = 1,055,236.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.