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Finding the Fourth Proportional to 542,754.56, 813,104.21 and 362,295.84

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Solution

The fourth proportional to 542,754.56, 813,104.21 and 362,295.84 is: 542,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,754.56 : 813,104.21 = 362,295.84 : x
  2. Step 2: Convert to fraction form
    542,754.56/813,104.21 = 362,295.84/x
  3. Step 3: Cross multiply
    542,754.56x = 813,104.21 × 362,295.84
  4. Step 4: Simplify right side
    542,754.56x = 294,584,270,958.01
  5. Step 5: Solve for x
    x = 294,584,270,958.01/542,754.56
  6. Step 6: Final answer
    x = 542,757.81

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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.