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Finding the Fourth Proportional to 542,825.95, 814,245.85 and 143,463.27

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Solution

The fourth proportional to 542,825.95, 814,245.85 and 143,463.27 is: 215,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,825.95 : 814,245.85 = 143,463.27 : x
  2. Step 2: Convert to fraction form
    542,825.95/814,245.85 = 143,463.27/x
  3. Step 3: Cross multiply
    542,825.95x = 814,245.85 × 143,463.27
  4. Step 4: Simplify right side
    542,825.95x = 116,814,372,224.93
  5. Step 5: Solve for x
    x = 116,814,372,224.93/542,825.95
  6. Step 6: Final answer
    x = 215,196.74

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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.