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Finding the Fourth Proportional to 331,049, 456,847.62 and 180,147.08

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Solution

The fourth proportional to 331,049, 456,847.62 and 180,147.08 is: 248,602.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,049 : 456,847.62 = 180,147.08 : x
  2. Step 2: Convert to fraction form
    331,049/456,847.62 = 180,147.08/x
  3. Step 3: Cross multiply
    331,049x = 456,847.62 × 180,147.08
  4. Step 4: Simplify right side
    331,049x = 82,299,764,747.95
  5. Step 5: Solve for x
    x = 82,299,764,747.95/331,049
  6. Step 6: Final answer
    x = 248,602.97

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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.