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Finding the Fourth Proportional to 1,409,719.11, 1,945,414.51 and 765,139.54

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Solution

The fourth proportional to 1,409,719.11, 1,945,414.51 and 765,139.54 is: 1,055,893.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,719.11 : 1,945,414.51 = 765,139.54 : x
  2. Step 2: Convert to fraction form
    1,409,719.11/1,945,414.51 = 765,139.54/x
  3. Step 3: Cross multiply
    1,409,719.11x = 1,945,414.51 × 765,139.54
  4. Step 4: Simplify right side
    1,409,719.11x = 1,488,513,563,290.73
  5. Step 5: Solve for x
    x = 1,488,513,563,290.73/1,409,719.11
  6. Step 6: Final answer
    x = 1,055,893.73

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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.