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Finding the Fourth Proportional to 362,229.40, 542,825.70 and 251,291.80

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Solution

The fourth proportional to 362,229.40, 542,825.70 and 251,291.80 is: 376,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,229.40 : 542,825.70 = 251,291.80 : x
  2. Step 2: Convert to fraction form
    362,229.40/542,825.70 = 251,291.80/x
  3. Step 3: Cross multiply
    362,229.40x = 542,825.70 × 251,291.80
  4. Step 4: Simplify right side
    362,229.40x = 136,407,647,239.26
  5. Step 5: Solve for x
    x = 136,407,647,239.26/362,229.40
  6. Step 6: Final answer
    x = 376,578.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.