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Finding the Fourth Proportional to 435,268.22, 649,367.82 and 411,726.38

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Solution

The fourth proportional to 435,268.22, 649,367.82 and 411,726.38 is: 614,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,268.22 : 649,367.82 = 411,726.38 : x
  2. Step 2: Convert to fraction form
    435,268.22/649,367.82 = 411,726.38/x
  3. Step 3: Cross multiply
    435,268.22x = 649,367.82 × 411,726.38
  4. Step 4: Simplify right side
    435,268.22x = 267,361,858,570.25
  5. Step 5: Solve for x
    x = 267,361,858,570.25/435,268.22
  6. Step 6: Final answer
    x = 614,246.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.