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Finding the Fourth Proportional to 366,231.80, 505,355.64 and 205,074.20

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Solution

The fourth proportional to 366,231.80, 505,355.64 and 205,074.20 is: 282,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,231.80 : 505,355.64 = 205,074.20 : x
  2. Step 2: Convert to fraction form
    366,231.80/505,355.64 = 205,074.20/x
  3. Step 3: Cross multiply
    366,231.80x = 505,355.64 × 205,074.20
  4. Step 4: Simplify right side
    366,231.80x = 103,635,403,588.49
  5. Step 5: Solve for x
    x = 103,635,403,588.49/366,231.80
  6. Step 6: Final answer
    x = 282,977.62

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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.