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Finding the Fourth Proportional to 338,796.33, 511,269.12 and 327,503.31

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Solution

The fourth proportional to 338,796.33, 511,269.12 and 327,503.31 is: 494,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,796.33 : 511,269.12 = 327,503.31 : x
  2. Step 2: Convert to fraction form
    338,796.33/511,269.12 = 327,503.31/x
  3. Step 3: Cross multiply
    338,796.33x = 511,269.12 × 327,503.31
  4. Step 4: Simplify right side
    338,796.33x = 167,442,329,100.79
  5. Step 5: Solve for x
    x = 167,442,329,100.79/338,796.33
  6. Step 6: Final answer
    x = 494,227.10

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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.