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Finding the Fourth Proportional to 365,991.57, 505,068.26 and 204,846.60

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Solution

The fourth proportional to 365,991.57, 505,068.26 and 204,846.60 is: 282,688.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,991.57 : 505,068.26 = 204,846.60 : x
  2. Step 2: Convert to fraction form
    365,991.57/505,068.26 = 204,846.60/x
  3. Step 3: Cross multiply
    365,991.57x = 505,068.26 × 204,846.60
  4. Step 4: Simplify right side
    365,991.57x = 103,461,514,804.68
  5. Step 5: Solve for x
    x = 103,461,514,804.68/365,991.57
  6. Step 6: Final answer
    x = 282,688.25

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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.