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Finding the Fourth Proportional to 1,609,843.80, 2,414,765.70 and 1,077,965.40

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Solution

The fourth proportional to 1,609,843.80, 2,414,765.70 and 1,077,965.40 is: 1,616,948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,843.80 : 2,414,765.70 = 1,077,965.40 : x
  2. Step 2: Convert to fraction form
    1,609,843.80/2,414,765.70 = 1,077,965.40/x
  3. Step 3: Cross multiply
    1,609,843.80x = 2,414,765.70 × 1,077,965.40
  4. Step 4: Simplify right side
    1,609,843.80x = 2,603,033,873,706.78
  5. Step 5: Solve for x
    x = 2,603,033,873,706.78/1,609,843.80
  6. Step 6: Final answer
    x = 1,616,948.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.