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Finding the Fourth Proportional to 505,035.75, 696,963.92 and 278,695.83

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Solution

The fourth proportional to 505,035.75, 696,963.92 and 278,695.83 is: 384,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,035.75 : 696,963.92 = 278,695.83 : x
  2. Step 2: Convert to fraction form
    505,035.75/696,963.92 = 278,695.83/x
  3. Step 3: Cross multiply
    505,035.75x = 696,963.92 × 278,695.83
  4. Step 4: Simplify right side
    505,035.75x = 194,240,936,770.97
  5. Step 5: Solve for x
    x = 194,240,936,770.97/505,035.75
  6. Step 6: Final answer
    x = 384,608.29

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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.