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Finding the Fourth Proportional to 326,644.88, 450,809.82 and 205,784.15

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Solution

The fourth proportional to 326,644.88, 450,809.82 and 205,784.15 is: 284,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,644.88 : 450,809.82 = 205,784.15 : x
  2. Step 2: Convert to fraction form
    326,644.88/450,809.82 = 205,784.15/x
  3. Step 3: Cross multiply
    326,644.88x = 450,809.82 × 205,784.15
  4. Step 4: Simplify right side
    326,644.88x = 92,769,513,366.30
  5. Step 5: Solve for x
    x = 92,769,513,366.30/326,644.88
  6. Step 6: Final answer
    x = 284,007.25

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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.