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Finding the Fourth Proportional to 344,846.61, 475,892.55 and 193,943.61

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Solution

The fourth proportional to 344,846.61, 475,892.55 and 193,943.61 is: 267,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,846.61 : 475,892.55 = 193,943.61 : x
  2. Step 2: Convert to fraction form
    344,846.61/475,892.55 = 193,943.61/x
  3. Step 3: Cross multiply
    344,846.61x = 475,892.55 × 193,943.61
  4. Step 4: Simplify right side
    344,846.61x = 92,296,319,119.11
  5. Step 5: Solve for x
    x = 92,296,319,119.11/344,846.61
  6. Step 6: Final answer
    x = 267,644.56

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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.