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Finding the Fourth Proportional to 582,406.52, 873,610.14 and 161,682.44

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Solution

The fourth proportional to 582,406.52, 873,610.14 and 161,682.44 is: 242,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,406.52 : 873,610.14 = 161,682.44 : x
  2. Step 2: Convert to fraction form
    582,406.52/873,610.14 = 161,682.44/x
  3. Step 3: Cross multiply
    582,406.52x = 873,610.14 × 161,682.44
  4. Step 4: Simplify right side
    582,406.52x = 141,247,419,043.94
  5. Step 5: Solve for x
    x = 141,247,419,043.94/582,406.52
  6. Step 6: Final answer
    x = 242,523.76

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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.