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Finding the Fourth Proportional to 463,442.20, 695,163.30 and 163,932.55

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Solution

The fourth proportional to 463,442.20, 695,163.30 and 163,932.55 is: 245,898.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,442.20 : 695,163.30 = 163,932.55 : x
  2. Step 2: Convert to fraction form
    463,442.20/695,163.30 = 163,932.55/x
  3. Step 3: Cross multiply
    463,442.20x = 695,163.30 × 163,932.55
  4. Step 4: Simplify right side
    463,442.20x = 113,959,892,435.42
  5. Step 5: Solve for x
    x = 113,959,892,435.42/463,442.20
  6. Step 6: Final answer
    x = 245,898.83

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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.