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Finding the Fourth Proportional to 1,409,751.82, 1,945,405.41 and 765,158.23

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Solution

The fourth proportional to 1,409,751.82, 1,945,405.41 and 765,158.23 is: 1,055,890.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,751.82 : 1,945,405.41 = 765,158.23 : x
  2. Step 2: Convert to fraction form
    1,409,751.82/1,945,405.41 = 765,158.23/x
  3. Step 3: Cross multiply
    1,409,751.82x = 1,945,405.41 × 765,158.23
  4. Step 4: Simplify right side
    1,409,751.82x = 1,488,542,960,148.02
  5. Step 5: Solve for x
    x = 1,488,542,960,148.02/1,409,751.82
  6. Step 6: Final answer
    x = 1,055,890.08

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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.