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Finding the Fourth Proportional to 503,556.85, 694,921.38 and 309,892.53

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Solution

The fourth proportional to 503,556.85, 694,921.38 and 309,892.53 is: 427,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,556.85 : 694,921.38 = 309,892.53 : x
  2. Step 2: Convert to fraction form
    503,556.85/694,921.38 = 309,892.53/x
  3. Step 3: Cross multiply
    503,556.85x = 694,921.38 × 309,892.53
  4. Step 4: Simplify right side
    503,556.85x = 215,350,946,043.15
  5. Step 5: Solve for x
    x = 215,350,946,043.15/503,556.85
  6. Step 6: Final answer
    x = 427,659.65

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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.