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Finding the Fourth Proportional to 586,768.38, 809,743.02 and 332,168.82

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Solution

The fourth proportional to 586,768.38, 809,743.02 and 332,168.82 is: 458,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,768.38 : 809,743.02 = 332,168.82 : x
  2. Step 2: Convert to fraction form
    586,768.38/809,743.02 = 332,168.82/x
  3. Step 3: Cross multiply
    586,768.38x = 809,743.02 × 332,168.82
  4. Step 4: Simplify right side
    586,768.38x = 268,971,383,456.64
  5. Step 5: Solve for x
    x = 268,971,383,456.64/586,768.38
  6. Step 6: Final answer
    x = 458,394.47

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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.