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Finding the Fourth Proportional to 1,965,512.44, 2,948,978.09 and 686,308.44

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Solution

The fourth proportional to 1,965,512.44, 2,948,978.09 and 686,308.44 is: 1,029,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965,512.44 : 2,948,978.09 = 686,308.44 : x
  2. Step 2: Convert to fraction form
    1,965,512.44/2,948,978.09 = 686,308.44/x
  3. Step 3: Cross multiply
    1,965,512.44x = 2,948,978.09 × 686,308.44
  4. Step 4: Simplify right side
    1,965,512.44x = 2,023,908,561,456.03
  5. Step 5: Solve for x
    x = 2,023,908,561,456.03/1,965,512.44
  6. Step 6: Final answer
    x = 1,029,710.38

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