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Finding the Fourth Proportional to 365,804.17, 504,829.37 and 204,649.61

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Solution

The fourth proportional to 365,804.17, 504,829.37 and 204,649.61 is: 282,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,804.17 : 504,829.37 = 204,649.61 : x
  2. Step 2: Convert to fraction form
    365,804.17/504,829.37 = 204,649.61/x
  3. Step 3: Cross multiply
    365,804.17x = 504,829.37 × 204,649.61
  4. Step 4: Simplify right side
    365,804.17x = 103,313,131,674.52
  5. Step 5: Solve for x
    x = 103,313,131,674.52/365,804.17
  6. Step 6: Final answer
    x = 282,427.43

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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.