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Finding the Fourth Proportional to 584,745.57, 806,962.14 and 343,202.31

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Solution

The fourth proportional to 584,745.57, 806,962.14 and 343,202.31 is: 473,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,745.57 : 806,962.14 = 343,202.31 : x
  2. Step 2: Convert to fraction form
    584,745.57/806,962.14 = 343,202.31/x
  3. Step 3: Cross multiply
    584,745.57x = 806,962.14 × 343,202.31
  4. Step 4: Simplify right side
    584,745.57x = 276,951,270,530.54
  5. Step 5: Solve for x
    x = 276,951,270,530.54/584,745.57
  6. Step 6: Final answer
    x = 473,626.97

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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.