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Finding the Fourth Proportional to 327,985.92, 452,597.76 and 193,824

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Solution

The fourth proportional to 327,985.92, 452,597.76 and 193,824 is: 267,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,985.92 : 452,597.76 = 193,824 : x
  2. Step 2: Convert to fraction form
    327,985.92/452,597.76 = 193,824/x
  3. Step 3: Cross multiply
    327,985.92x = 452,597.76 × 193,824
  4. Step 4: Simplify right side
    327,985.92x = 87,724,308,234.24
  5. Step 5: Solve for x
    x = 87,724,308,234.24/327,985.92
  6. Step 6: Final answer
    x = 267,463.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.