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Finding the Fourth Proportional to 1,409,447.75, 1,945,039.14 and 764,867.94

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Solution

The fourth proportional to 1,409,447.75, 1,945,039.14 and 764,867.94 is: 1,055,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,447.75 : 1,945,039.14 = 764,867.94 : x
  2. Step 2: Convert to fraction form
    1,409,447.75/1,945,039.14 = 764,867.94/x
  3. Step 3: Cross multiply
    1,409,447.75x = 1,945,039.14 × 764,867.94
  4. Step 4: Simplify right side
    1,409,447.75x = 1,487,698,080,231.17
  5. Step 5: Solve for x
    x = 1,487,698,080,231.17/1,409,447.75
  6. Step 6: Final answer
    x = 1,055,518.43

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