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Finding the Fourth Proportional to 821,675.74, 1,238,122.14 and 675,197.31

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Solution

The fourth proportional to 821,675.74, 1,238,122.14 and 675,197.31 is: 1,017,404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,675.74 : 1,238,122.14 = 675,197.31 : x
  2. Step 2: Convert to fraction form
    821,675.74/1,238,122.14 = 675,197.31/x
  3. Step 3: Cross multiply
    821,675.74x = 1,238,122.14 × 675,197.31
  4. Step 4: Simplify right side
    821,675.74x = 835,976,735,003.46
  5. Step 5: Solve for x
    x = 835,976,735,003.46/821,675.74
  6. Step 6: Final answer
    x = 1,017,404.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.