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Finding the Fourth Proportional to 408,381.64, 611,261.82 and 218,367.40

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Solution

The fourth proportional to 408,381.64, 611,261.82 and 218,367.40 is: 326,850.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,381.64 : 611,261.82 = 218,367.40 : x
  2. Step 2: Convert to fraction form
    408,381.64/611,261.82 = 218,367.40/x
  3. Step 3: Cross multiply
    408,381.64x = 611,261.82 × 218,367.40
  4. Step 4: Simplify right side
    408,381.64x = 133,479,654,352.67
  5. Step 5: Solve for x
    x = 133,479,654,352.67/408,381.64
  6. Step 6: Final answer
    x = 326,850.28

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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.