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Finding the Fourth Proportional to 360,980.67, 498,137.17 and 199,824.33

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Solution

The fourth proportional to 360,980.67, 498,137.17 and 199,824.33 is: 275,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,980.67 : 498,137.17 = 199,824.33 : x
  2. Step 2: Convert to fraction form
    360,980.67/498,137.17 = 199,824.33/x
  3. Step 3: Cross multiply
    360,980.67x = 498,137.17 × 199,824.33
  4. Step 4: Simplify right side
    360,980.67x = 99,539,926,243.35
  5. Step 5: Solve for x
    x = 99,539,926,243.35/360,980.67
  6. Step 6: Final answer
    x = 275,748.63

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1.5x scale

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.