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Finding the Fourth Proportional to 541,365.34, 746,587.77 and 464,858.41

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Solution

The fourth proportional to 541,365.34, 746,587.77 and 464,858.41 is: 641,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,365.34 : 746,587.77 = 464,858.41 : x
  2. Step 2: Convert to fraction form
    541,365.34/746,587.77 = 464,858.41/x
  3. Step 3: Cross multiply
    541,365.34x = 746,587.77 × 464,858.41
  4. Step 4: Simplify right side
    541,365.34x = 347,057,603,687.65
  5. Step 5: Solve for x
    x = 347,057,603,687.65/541,365.34
  6. Step 6: Final answer
    x = 641,078.36

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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.