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Finding the Fourth Proportional to 503,735.68, 694,930.56 and 340,339.76

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Solution

The fourth proportional to 503,735.68, 694,930.56 and 340,339.76 is: 469,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,735.68 : 694,930.56 = 340,339.76 : x
  2. Step 2: Convert to fraction form
    503,735.68/694,930.56 = 340,339.76/x
  3. Step 3: Cross multiply
    503,735.68x = 694,930.56 × 340,339.76
  4. Step 4: Simplify right side
    503,735.68x = 236,512,500,007.07
  5. Step 5: Solve for x
    x = 236,512,500,007.07/503,735.68
  6. Step 6: Final answer
    x = 469,517.07

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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.