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Finding the Fourth Proportional to 366,464.57, 505,735.01 and 205,314.11

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Solution

The fourth proportional to 366,464.57, 505,735.01 and 205,314.11 is: 283,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,464.57 : 505,735.01 = 205,314.11 : x
  2. Step 2: Convert to fraction form
    366,464.57/505,735.01 = 205,314.11/x
  3. Step 3: Cross multiply
    366,464.57x = 505,735.01 × 205,314.11
  4. Step 4: Simplify right side
    366,464.57x = 103,834,529,918.75
  5. Step 5: Solve for x
    x = 103,834,529,918.75/366,464.57
  6. Step 6: Final answer
    x = 283,341.26

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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.