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Finding the Fourth Proportional to 360,862.44, 497,986.50 and 199,717.80

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Solution

The fourth proportional to 360,862.44, 497,986.50 and 199,717.80 is: 275,608.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,862.44 : 497,986.50 = 199,717.80 : x
  2. Step 2: Convert to fraction form
    360,862.44/497,986.50 = 199,717.80/x
  3. Step 3: Cross multiply
    360,862.44x = 497,986.50 × 199,717.80
  4. Step 4: Simplify right side
    360,862.44x = 99,456,768,209.70
  5. Step 5: Solve for x
    x = 99,456,768,209.70/360,862.44
  6. Step 6: Final answer
    x = 275,608.53

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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.