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Finding the Fourth Proportional to 327,188, 490,897.20 and 161,092.64

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Solution

The fourth proportional to 327,188, 490,897.20 and 161,092.64 is: 241,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,188 : 490,897.20 = 161,092.64 : x
  2. Step 2: Convert to fraction form
    327,188/490,897.20 = 161,092.64/x
  3. Step 3: Cross multiply
    327,188x = 490,897.20 × 161,092.64
  4. Step 4: Simplify right side
    327,188x = 79,079,925,916.61
  5. Step 5: Solve for x
    x = 79,079,925,916.61/327,188
  6. Step 6: Final answer
    x = 241,695.68

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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.