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Finding the Fourth Proportional to 409,939.20, 614,908.80 and 251,654.40

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Solution

The fourth proportional to 409,939.20, 614,908.80 and 251,654.40 is: 377,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,939.20 : 614,908.80 = 251,654.40 : x
  2. Step 2: Convert to fraction form
    409,939.20/614,908.80 = 251,654.40/x
  3. Step 3: Cross multiply
    409,939.20x = 614,908.80 × 251,654.40
  4. Step 4: Simplify right side
    409,939.20x = 154,744,505,118.72
  5. Step 5: Solve for x
    x = 154,744,505,118.72/409,939.20
  6. Step 6: Final answer
    x = 377,481.60

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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.