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Finding the Fourth Proportional to 503,494.60, 694,765.57 and 296,749.48

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Solution

The fourth proportional to 503,494.60, 694,765.57 and 296,749.48 is: 409,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,494.60 : 694,765.57 = 296,749.48 : x
  2. Step 2: Convert to fraction form
    503,494.60/694,765.57 = 296,749.48/x
  3. Step 3: Cross multiply
    503,494.60x = 694,765.57 × 296,749.48
  4. Step 4: Simplify right side
    503,494.60x = 206,171,321,619.40
  5. Step 5: Solve for x
    x = 206,171,321,619.40/503,494.60
  6. Step 6: Final answer
    x = 409,480.70

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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.