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Finding the Fourth Proportional to 365,241.61, 504,023.77 and 204,097.98

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Solution

The fourth proportional to 365,241.61, 504,023.77 and 204,097.98 is: 281,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,241.61 : 504,023.77 = 204,097.98 : x
  2. Step 2: Convert to fraction form
    365,241.61/504,023.77 = 204,097.98/x
  3. Step 3: Cross multiply
    365,241.61x = 504,023.77 × 204,097.98
  4. Step 4: Simplify right side
    365,241.61x = 102,870,231,491.01
  5. Step 5: Solve for x
    x = 102,870,231,491.01/365,241.61
  6. Step 6: Final answer
    x = 281,649.82

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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.