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Finding the Fourth Proportional to 365,796.39, 504,818.63 and 204,641.82

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Solution

The fourth proportional to 365,796.39, 504,818.63 and 204,641.82 is: 282,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,796.39 : 504,818.63 = 204,641.82 : x
  2. Step 2: Convert to fraction form
    365,796.39/504,818.63 = 204,641.82/x
  3. Step 3: Cross multiply
    365,796.39x = 504,818.63 × 204,641.82
  4. Step 4: Simplify right side
    365,796.39x = 103,307,002,189.90
  5. Step 5: Solve for x
    x = 103,307,002,189.90/365,796.39
  6. Step 6: Final answer
    x = 282,416.68

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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.