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Finding the Fourth Proportional to 1,409,754.57, 1,945,409.13 and 765,160.95

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Solution

The fourth proportional to 1,409,754.57, 1,945,409.13 and 765,160.95 is: 1,055,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,754.57 : 1,945,409.13 = 765,160.95 : x
  2. Step 2: Convert to fraction form
    1,409,754.57/1,945,409.13 = 765,160.95/x
  3. Step 3: Cross multiply
    1,409,754.57x = 1,945,409.13 × 765,160.95
  4. Step 4: Simplify right side
    1,409,754.57x = 1,488,551,098,049.47
  5. Step 5: Solve for x
    x = 1,488,551,098,049.47/1,409,754.57
  6. Step 6: Final answer
    x = 1,055,893.79

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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.