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Finding the Fourth Proportional to 366,503.37, 505,774.26 and 205,359.54

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Solution

The fourth proportional to 366,503.37, 505,774.26 and 205,359.54 is: 283,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,503.37 : 505,774.26 = 205,359.54 : x
  2. Step 2: Convert to fraction form
    366,503.37/505,774.26 = 205,359.54/x
  3. Step 3: Cross multiply
    366,503.37x = 505,774.26 × 205,359.54
  4. Step 4: Simplify right side
    366,503.37x = 103,865,569,377.44
  5. Step 5: Solve for x
    x = 103,865,569,377.44/366,503.37
  6. Step 6: Final answer
    x = 283,395.95

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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.