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Finding the Fourth Proportional to 460,425.26, 635,240.66 and 259,182.38

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Solution

The fourth proportional to 460,425.26, 635,240.66 and 259,182.38 is: 357,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,425.26 : 635,240.66 = 259,182.38 : x
  2. Step 2: Convert to fraction form
    460,425.26/635,240.66 = 259,182.38/x
  3. Step 3: Cross multiply
    460,425.26x = 635,240.66 × 259,182.38
  4. Step 4: Simplify right side
    460,425.26x = 164,643,186,131.57
  5. Step 5: Solve for x
    x = 164,643,186,131.57/460,425.26
  6. Step 6: Final answer
    x = 357,589.39

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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.