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Finding the Fourth Proportional to 365,797.42, 504,820.05 and 204,642.86

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Solution

The fourth proportional to 365,797.42, 504,820.05 and 204,642.86 is: 282,418.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,797.42 : 504,820.05 = 204,642.86 : x
  2. Step 2: Convert to fraction form
    365,797.42/504,820.05 = 204,642.86/x
  3. Step 3: Cross multiply
    365,797.42x = 504,820.05 × 204,642.86
  4. Step 4: Simplify right side
    365,797.42x = 103,307,815,525.83
  5. Step 5: Solve for x
    x = 103,307,815,525.83/365,797.42
  6. Step 6: Final answer
    x = 282,418.11

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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.