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Finding the Fourth Proportional to 460,414.26, 635,225.49 and 259,171.38

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Solution

The fourth proportional to 460,414.26, 635,225.49 and 259,171.38 is: 357,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,414.26 : 635,225.49 = 259,171.38 : x
  2. Step 2: Convert to fraction form
    460,414.26/635,225.49 = 259,171.38/x
  3. Step 3: Cross multiply
    460,414.26x = 635,225.49 × 259,171.38
  4. Step 4: Simplify right side
    460,414.26x = 164,632,266,854.48
  5. Step 5: Solve for x
    x = 164,632,266,854.48/460,414.26
  6. Step 6: Final answer
    x = 357,574.21

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Why These Related Problems?

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