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Finding the Fourth Proportional to 327,985.80, 491,978.70 and 291,244.20

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Solution

The fourth proportional to 327,985.80, 491,978.70 and 291,244.20 is: 436,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,985.80 : 491,978.70 = 291,244.20 : x
  2. Step 2: Convert to fraction form
    327,985.80/491,978.70 = 291,244.20/x
  3. Step 3: Cross multiply
    327,985.80x = 491,978.70 × 291,244.20
  4. Step 4: Simplify right side
    327,985.80x = 143,285,942,898.54
  5. Step 5: Solve for x
    x = 143,285,942,898.54/327,985.80
  6. Step 6: Final answer
    x = 436,866.30

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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.