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Finding the Fourth Proportional to 557,540.97, 769,422.31 and 315,823.47

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Solution

The fourth proportional to 557,540.97, 769,422.31 and 315,823.47 is: 435,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,540.97 : 769,422.31 = 315,823.47 : x
  2. Step 2: Convert to fraction form
    557,540.97/769,422.31 = 315,823.47/x
  3. Step 3: Cross multiply
    557,540.97x = 769,422.31 × 315,823.47
  4. Step 4: Simplify right side
    557,540.97x = 243,001,626,781.93
  5. Step 5: Solve for x
    x = 243,001,626,781.93/557,540.97
  6. Step 6: Final answer
    x = 435,845.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.