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Finding the Fourth Proportional to 1,409,783.73, 1,945,449.20 and 765,190.05

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Solution

The fourth proportional to 1,409,783.73, 1,945,449.20 and 765,190.05 is: 1,055,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,783.73 : 1,945,449.20 = 765,190.05 : x
  2. Step 2: Convert to fraction form
    1,409,783.73/1,945,449.20 = 765,190.05/x
  3. Step 3: Cross multiply
    1,409,783.73x = 1,945,449.20 × 765,190.05
  4. Step 4: Simplify right side
    1,409,783.73x = 1,488,638,372,533.44
  5. Step 5: Solve for x
    x = 1,488,638,372,533.44/1,409,783.73
  6. Step 6: Final answer
    x = 1,055,933.86

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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.