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Finding the Fourth Proportional to 344,423.72, 475,286.46 and 193,511

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Solution

The fourth proportional to 344,423.72, 475,286.46 and 193,511 is: 267,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,423.72 : 475,286.46 = 193,511 : x
  2. Step 2: Convert to fraction form
    344,423.72/475,286.46 = 193,511/x
  3. Step 3: Cross multiply
    344,423.72x = 475,286.46 × 193,511
  4. Step 4: Simplify right side
    344,423.72x = 91,973,158,161.06
  5. Step 5: Solve for x
    x = 91,973,158,161.06/344,423.72
  6. Step 6: Final answer
    x = 267,034.91

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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.