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Finding the Fourth Proportional to 1,409,736.60, 1,945,384.36 and 765,142.97

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Solution

The fourth proportional to 1,409,736.60, 1,945,384.36 and 765,142.97 is: 1,055,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,736.60 : 1,945,384.36 = 765,142.97 : x
  2. Step 2: Convert to fraction form
    1,409,736.60/1,945,384.36 = 765,142.97/x
  3. Step 3: Cross multiply
    1,409,736.60x = 1,945,384.36 × 765,142.97
  4. Step 4: Simplify right side
    1,409,736.60x = 1,488,497,155,362.17
  5. Step 5: Solve for x
    x = 1,488,497,155,362.17/1,409,736.60
  6. Step 6: Final answer
    x = 1,055,868.99

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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.