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Finding the Fourth Proportional to 552,791.28, 829,259.88 and 192,968.61

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Solution

The fourth proportional to 552,791.28, 829,259.88 and 192,968.61 is: 289,478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,791.28 : 829,259.88 = 192,968.61 : x
  2. Step 2: Convert to fraction form
    552,791.28/829,259.88 = 192,968.61/x
  3. Step 3: Cross multiply
    552,791.28x = 829,259.88 × 192,968.61
  4. Step 4: Simplify right side
    552,791.28x = 160,021,125,648.74
  5. Step 5: Solve for x
    x = 160,021,125,648.74/552,791.28
  6. Step 6: Final answer
    x = 289,478.38

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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.