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Finding the Fourth Proportional to 503,840.54, 694,489.56 and 340,446.02

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Solution

The fourth proportional to 503,840.54, 694,489.56 and 340,446.02 is: 469,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,840.54 : 694,489.56 = 340,446.02 : x
  2. Step 2: Convert to fraction form
    503,840.54/694,489.56 = 340,446.02/x
  3. Step 3: Cross multiply
    503,840.54x = 694,489.56 × 340,446.02
  4. Step 4: Simplify right side
    503,840.54x = 236,436,206,633.55
  5. Step 5: Solve for x
    x = 236,436,206,633.55/503,840.54
  6. Step 6: Final answer
    x = 469,267.93

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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.