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Finding the Fourth Proportional to 1,409,649.50, 1,945,318.21 and 765,069.71

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Solution

The fourth proportional to 1,409,649.50, 1,945,318.21 and 765,069.71 is: 1,055,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,649.50 : 1,945,318.21 = 765,069.71 : x
  2. Step 2: Convert to fraction form
    1,409,649.50/1,945,318.21 = 765,069.71/x
  3. Step 3: Cross multiply
    1,409,649.50x = 1,945,318.21 × 765,069.71
  4. Step 4: Simplify right side
    1,409,649.50x = 1,488,304,027,143.15
  5. Step 5: Solve for x
    x = 1,488,304,027,143.15/1,409,649.50
  6. Step 6: Final answer
    x = 1,055,797.22

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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.