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Finding the Fourth Proportional to 366,431.52, 505,560.72 and 205,264.80

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Solution

The fourth proportional to 366,431.52, 505,560.72 and 205,264.80 is: 283,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,431.52 : 505,560.72 = 205,264.80 : x
  2. Step 2: Convert to fraction form
    366,431.52/505,560.72 = 205,264.80/x
  3. Step 3: Cross multiply
    366,431.52x = 505,560.72 × 205,264.80
  4. Step 4: Simplify right side
    366,431.52x = 103,773,820,078.66
  5. Step 5: Solve for x
    x = 103,773,820,078.66/366,431.52
  6. Step 6: Final answer
    x = 283,201.13

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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.