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Finding the Fourth Proportional to 366,344.94, 505,553 and 205,201.50

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Solution

The fourth proportional to 366,344.94, 505,553 and 205,201.50 is: 283,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,344.94 : 505,553 = 205,201.50 : x
  2. Step 2: Convert to fraction form
    366,344.94/505,553 = 205,201.50/x
  3. Step 3: Cross multiply
    366,344.94x = 505,553 × 205,201.50
  4. Step 4: Simplify right side
    366,344.94x = 103,740,233,929.50
  5. Step 5: Solve for x
    x = 103,740,233,929.50/366,344.94
  6. Step 6: Final answer
    x = 283,176.38

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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.