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Finding the Fourth Proportional to 542,755.23, 813,105.24 and 362,296.52

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Solution

The fourth proportional to 542,755.23, 813,105.24 and 362,296.52 is: 542,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,755.23 : 813,105.24 = 362,296.52 : x
  2. Step 2: Convert to fraction form
    542,755.23/813,105.24 = 362,296.52/x
  3. Step 3: Cross multiply
    542,755.23x = 813,105.24 × 362,296.52
  4. Step 4: Simplify right side
    542,755.23x = 294,585,198,845.77
  5. Step 5: Solve for x
    x = 294,585,198,845.77/542,755.23
  6. Step 6: Final answer
    x = 542,758.84

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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.