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Finding the Fourth Proportional to 1,409,721.30, 1,945,416.84 and 765,141.63

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Solution

The fourth proportional to 1,409,721.30, 1,945,416.84 and 765,141.63 is: 1,055,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,721.30 : 1,945,416.84 = 765,141.63 : x
  2. Step 2: Convert to fraction form
    1,409,721.30/1,945,416.84 = 765,141.63/x
  3. Step 3: Cross multiply
    1,409,721.30x = 1,945,416.84 × 765,141.63
  4. Step 4: Simplify right side
    1,409,721.30x = 1,488,519,410,552.41
  5. Step 5: Solve for x
    x = 1,488,519,410,552.41/1,409,721.30
  6. Step 6: Final answer
    x = 1,055,896.23

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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.