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Finding the Fourth Proportional to 503,474.19, 694,742.03 and 285,613.46

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Solution

The fourth proportional to 503,474.19, 694,742.03 and 285,613.46 is: 394,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,474.19 : 694,742.03 = 285,613.46 : x
  2. Step 2: Convert to fraction form
    503,474.19/694,742.03 = 285,613.46/x
  3. Step 3: Cross multiply
    503,474.19x = 694,742.03 × 285,613.46
  4. Step 4: Simplify right side
    503,474.19x = 198,427,670,093.95
  5. Step 5: Solve for x
    x = 198,427,670,093.95/503,474.19
  6. Step 6: Final answer
    x = 394,116.87

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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.