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Finding the Fourth Proportional to 582,192, 873,288 and 161,467.88

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Solution

The fourth proportional to 582,192, 873,288 and 161,467.88 is: 242,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,192 : 873,288 = 161,467.88 : x
  2. Step 2: Convert to fraction form
    582,192/873,288 = 161,467.88/x
  3. Step 3: Cross multiply
    582,192x = 873,288 × 161,467.88
  4. Step 4: Simplify right side
    582,192x = 141,007,957,623
  5. Step 5: Solve for x
    x = 141,007,957,623/582,192
  6. Step 6: Final answer
    x = 242,201.81

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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.