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Finding the Fourth Proportional to 503,843.79, 694,494.05 and 340,449.29

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Solution

The fourth proportional to 503,843.79, 694,494.05 and 340,449.29 is: 469,272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,843.79 : 694,494.05 = 340,449.29 : x
  2. Step 2: Convert to fraction form
    503,843.79/694,494.05 = 340,449.29/x
  3. Step 3: Cross multiply
    503,843.79x = 694,494.05 × 340,449.29
  4. Step 4: Simplify right side
    503,843.79x = 236,440,001,057.01
  5. Step 5: Solve for x
    x = 236,440,001,057.01/503,843.79
  6. Step 6: Final answer
    x = 469,272.43

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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.