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Finding the Fourth Proportional to 363,742.80, 501,791.22 and 282,615.13

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Solution

The fourth proportional to 363,742.80, 501,791.22 and 282,615.13 is: 389,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,742.80 : 501,791.22 = 282,615.13 : x
  2. Step 2: Convert to fraction form
    363,742.80/501,791.22 = 282,615.13/x
  3. Step 3: Cross multiply
    363,742.80x = 501,791.22 × 282,615.13
  4. Step 4: Simplify right side
    363,742.80x = 141,813,786,951.13
  5. Step 5: Solve for x
    x = 141,813,786,951.13/363,742.80
  6. Step 6: Final answer
    x = 389,873.80

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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.