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Finding the Fourth Proportional to 332,001, 498,005.82 and 110,385

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Solution

The fourth proportional to 332,001, 498,005.82 and 110,385 is: 165,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,001 : 498,005.82 = 110,385 : x
  2. Step 2: Convert to fraction form
    332,001/498,005.82 = 110,385/x
  3. Step 3: Cross multiply
    332,001x = 498,005.82 × 110,385
  4. Step 4: Simplify right side
    332,001x = 54,972,372,440.70
  5. Step 5: Solve for x
    x = 54,972,372,440.70/332,001
  6. Step 6: Final answer
    x = 165,578.94

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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.