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Finding the Fourth Proportional to 1,027,890.69, 1,542,361.32 and 686,566.82

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Solution

The fourth proportional to 1,027,890.69, 1,542,361.32 and 686,566.82 is: 1,030,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,890.69 : 1,542,361.32 = 686,566.82 : x
  2. Step 2: Convert to fraction form
    1,027,890.69/1,542,361.32 = 686,566.82/x
  3. Step 3: Cross multiply
    1,027,890.69x = 1,542,361.32 × 686,566.82
  4. Step 4: Simplify right side
    1,027,890.69x = 1,058,934,106,763.40
  5. Step 5: Solve for x
    x = 1,058,934,106,763.40/1,027,890.69
  6. Step 6: Final answer
    x = 1,030,201.09

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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.