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Finding the Fourth Proportional to 360,227.81, 497,114.97 and 199,082.81

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Solution

The fourth proportional to 360,227.81, 497,114.97 and 199,082.81 is: 274,734.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,227.81 : 497,114.97 = 199,082.81 : x
  2. Step 2: Convert to fraction form
    360,227.81/497,114.97 = 199,082.81/x
  3. Step 3: Cross multiply
    360,227.81x = 497,114.97 × 199,082.81
  4. Step 4: Simplify right side
    360,227.81x = 98,967,046,736.73
  5. Step 5: Solve for x
    x = 98,967,046,736.73/360,227.81
  6. Step 6: Final answer
    x = 274,734.61

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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.