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Finding the Fourth Proportional to 338,537.80, 467,165.76 and 195,344.08

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Solution

The fourth proportional to 338,537.80, 467,165.76 and 195,344.08 is: 269,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,537.80 : 467,165.76 = 195,344.08 : x
  2. Step 2: Convert to fraction form
    338,537.80/467,165.76 = 195,344.08/x
  3. Step 3: Cross multiply
    338,537.80x = 467,165.76 × 195,344.08
  4. Step 4: Simplify right side
    338,537.80x = 91,258,065,594.70
  5. Step 5: Solve for x
    x = 91,258,065,594.70/338,537.80
  6. Step 6: Final answer
    x = 269,565.36

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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.