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Finding the Fourth Proportional to 365,756.49, 504,732.21 and 204,608.07

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Solution

The fourth proportional to 365,756.49, 504,732.21 and 204,608.07 is: 282,352.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,756.49 : 504,732.21 = 204,608.07 : x
  2. Step 2: Convert to fraction form
    365,756.49/504,732.21 = 204,608.07/x
  3. Step 3: Cross multiply
    365,756.49x = 504,732.21 × 204,608.07
  4. Step 4: Simplify right side
    365,756.49x = 103,272,283,354.94
  5. Step 5: Solve for x
    x = 103,272,283,354.94/365,756.49
  6. Step 6: Final answer
    x = 282,352.57

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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.