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Finding the Fourth Proportional to 502,724.86, 693,755.38 and 273,268.50

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Solution

The fourth proportional to 502,724.86, 693,755.38 and 273,268.50 is: 377,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,724.86 : 693,755.38 = 273,268.50 : x
  2. Step 2: Convert to fraction form
    502,724.86/693,755.38 = 273,268.50/x
  3. Step 3: Cross multiply
    502,724.86x = 693,755.38 × 273,268.50
  4. Step 4: Simplify right side
    502,724.86x = 189,581,489,622.28
  5. Step 5: Solve for x
    x = 189,581,489,622.28/502,724.86
  6. Step 6: Final answer
    x = 377,107.84

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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.