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Finding the Fourth Proportional to 332,446.56, 500,913.84 and 274,578.48

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Solution

The fourth proportional to 332,446.56, 500,913.84 and 274,578.48 is: 413,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,446.56 : 500,913.84 = 274,578.48 : x
  2. Step 2: Convert to fraction form
    332,446.56/500,913.84 = 274,578.48/x
  3. Step 3: Cross multiply
    332,446.56x = 500,913.84 × 274,578.48
  4. Step 4: Simplify right side
    332,446.56x = 137,540,160,798.16
  5. Step 5: Solve for x
    x = 137,540,160,798.16/332,446.56
  6. Step 6: Final answer
    x = 413,721.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.