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Finding the Fourth Proportional to 366,345.94, 505,554.38 and 205,202.50

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Solution

The fourth proportional to 366,345.94, 505,554.38 and 205,202.50 is: 283,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,345.94 : 505,554.38 = 205,202.50 : x
  2. Step 2: Convert to fraction form
    366,345.94/505,554.38 = 205,202.50/x
  3. Step 3: Cross multiply
    366,345.94x = 505,554.38 × 205,202.50
  4. Step 4: Simplify right side
    366,345.94x = 103,741,022,661.95
  5. Step 5: Solve for x
    x = 103,741,022,661.95/366,345.94
  6. Step 6: Final answer
    x = 283,177.76

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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.