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Finding the Fourth Proportional to 433,181.52, 649,335.96 and 180,601.80

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Solution

The fourth proportional to 433,181.52, 649,335.96 and 180,601.80 is: 270,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,181.52 : 649,335.96 = 180,601.80 : x
  2. Step 2: Convert to fraction form
    433,181.52/649,335.96 = 180,601.80/x
  3. Step 3: Cross multiply
    433,181.52x = 649,335.96 × 180,601.80
  4. Step 4: Simplify right side
    433,181.52x = 117,271,243,180.73
  5. Step 5: Solve for x
    x = 117,271,243,180.73/433,181.52
  6. Step 6: Final answer
    x = 270,720.79

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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.