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Finding the Fourth Proportional to 241,456.60, 362,415.30 and 206,435.80

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Solution

The fourth proportional to 241,456.60, 362,415.30 and 206,435.80 is: 309,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,456.60 : 362,415.30 = 206,435.80 : x
  2. Step 2: Convert to fraction form
    241,456.60/362,415.30 = 206,435.80/x
  3. Step 3: Cross multiply
    241,456.60x = 362,415.30 × 206,435.80
  4. Step 4: Simplify right side
    241,456.60x = 74,815,492,387.74
  5. Step 5: Solve for x
    x = 74,815,492,387.74/241,456.60
  6. Step 6: Final answer
    x = 309,850.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.