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Finding the Fourth Proportional to 365,965.39, 505,032.15 and 204,820.43

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Solution

The fourth proportional to 365,965.39, 505,032.15 and 204,820.43 is: 282,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,965.39 : 505,032.15 = 204,820.43 : x
  2. Step 2: Convert to fraction form
    365,965.39/505,032.15 = 204,820.43/x
  3. Step 3: Cross multiply
    365,965.39x = 505,032.15 × 204,820.43
  4. Step 4: Simplify right side
    365,965.39x = 103,440,899,601.66
  5. Step 5: Solve for x
    x = 103,440,899,601.66/365,965.39
  6. Step 6: Final answer
    x = 282,652.14

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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.