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Finding the Fourth Proportional to 360,967.82, 498,139.53 and 199,825.56

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Solution

The fourth proportional to 360,967.82, 498,139.53 and 199,825.56 is: 275,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,967.82 : 498,139.53 = 199,825.56 : x
  2. Step 2: Convert to fraction form
    360,967.82/498,139.53 = 199,825.56/x
  3. Step 3: Cross multiply
    360,967.82x = 498,139.53 × 199,825.56
  4. Step 4: Simplify right side
    360,967.82x = 99,541,010,353.05
  5. Step 5: Solve for x
    x = 99,541,010,353.05/360,967.82
  6. Step 6: Final answer
    x = 275,761.45

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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.