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Finding the Fourth Proportional to 422,434.77, 582,937.70 and 241,139.49

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Solution

The fourth proportional to 422,434.77, 582,937.70 and 241,139.49 is: 332,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,434.77 : 582,937.70 = 241,139.49 : x
  2. Step 2: Convert to fraction form
    422,434.77/582,937.70 = 241,139.49/x
  3. Step 3: Cross multiply
    422,434.77x = 582,937.70 × 241,139.49
  4. Step 4: Simplify right side
    422,434.77x = 140,569,298,474.08
  5. Step 5: Solve for x
    x = 140,569,298,474.08/422,434.77
  6. Step 6: Final answer
    x = 332,759.77

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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.