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Finding the Fourth Proportional to 361,083.46, 498,300.42 and 199,938.20

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Solution

The fourth proportional to 361,083.46, 498,300.42 and 199,938.20 is: 275,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,083.46 : 498,300.42 = 199,938.20 : x
  2. Step 2: Convert to fraction form
    361,083.46/498,300.42 = 199,938.20/x
  3. Step 3: Cross multiply
    361,083.46x = 498,300.42 × 199,938.20
  4. Step 4: Simplify right side
    361,083.46x = 99,629,289,034.04
  5. Step 5: Solve for x
    x = 99,629,289,034.04/361,083.46
  6. Step 6: Final answer
    x = 275,917.62

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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.