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Finding the Fourth Proportional to 586,770.38, 809,745.78 and 332,170.82

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Solution

The fourth proportional to 586,770.38, 809,745.78 and 332,170.82 is: 458,397.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,770.38 : 809,745.78 = 332,170.82 : x
  2. Step 2: Convert to fraction form
    586,770.38/809,745.78 = 332,170.82/x
  3. Step 3: Cross multiply
    586,770.38x = 809,745.78 × 332,170.82
  4. Step 4: Simplify right side
    586,770.38x = 268,973,919,734.14
  5. Step 5: Solve for x
    x = 268,973,919,734.14/586,770.38
  6. Step 6: Final answer
    x = 458,397.23

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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.