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Finding the Fourth Proportional to 362,226.40, 542,821.20 and 251,288.80

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Solution

The fourth proportional to 362,226.40, 542,821.20 and 251,288.80 is: 376,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,226.40 : 542,821.20 = 251,288.80 : x
  2. Step 2: Convert to fraction form
    362,226.40/542,821.20 = 251,288.80/x
  3. Step 3: Cross multiply
    362,226.40x = 542,821.20 × 251,288.80
  4. Step 4: Simplify right side
    362,226.40x = 136,404,887,962.56
  5. Step 5: Solve for x
    x = 136,404,887,962.56/362,226.40
  6. Step 6: Final answer
    x = 376,573.57

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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.