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Finding the Fourth Proportional to 367,079.84, 506,571.33 and 205,935

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Solution

The fourth proportional to 367,079.84, 506,571.33 and 205,935 is: 284,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,079.84 : 506,571.33 = 205,935 : x
  2. Step 2: Convert to fraction form
    367,079.84/506,571.33 = 205,935/x
  3. Step 3: Cross multiply
    367,079.84x = 506,571.33 × 205,935
  4. Step 4: Simplify right side
    367,079.84x = 104,320,766,843.55
  5. Step 5: Solve for x
    x = 104,320,766,843.55/367,079.84
  6. Step 6: Final answer
    x = 284,190.95

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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.