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Finding the Fourth Proportional to 365,810.69, 504,838.37 and 204,656.11

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Solution

The fourth proportional to 365,810.69, 504,838.37 and 204,656.11 is: 282,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,810.69 : 504,838.37 = 204,656.11 : x
  2. Step 2: Convert to fraction form
    365,810.69/504,838.37 = 204,656.11/x
  3. Step 3: Cross multiply
    365,810.69x = 504,838.37 × 204,656.11
  4. Step 4: Simplify right side
    365,810.69x = 103,318,256,982.94
  5. Step 5: Solve for x
    x = 103,318,256,982.94/365,810.69
  6. Step 6: Final answer
    x = 282,436.41

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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.