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Finding the Fourth Proportional to 363,744.46, 501,793.50 and 282,616.78

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Solution

The fourth proportional to 363,744.46, 501,793.50 and 282,616.78 is: 389,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,744.46 : 501,793.50 = 282,616.78 : x
  2. Step 2: Convert to fraction form
    363,744.46/501,793.50 = 282,616.78/x
  3. Step 3: Cross multiply
    363,744.46x = 501,793.50 × 282,616.78
  4. Step 4: Simplify right side
    363,744.46x = 141,815,263,194.93
  5. Step 5: Solve for x
    x = 141,815,263,194.93/363,744.46
  6. Step 6: Final answer
    x = 389,876.08

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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.