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Finding the Fourth Proportional to 361,114.46, 498,331.80 and 199,966.04

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Solution

The fourth proportional to 361,114.46, 498,331.80 and 199,966.04 is: 275,949.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,114.46 : 498,331.80 = 199,966.04 : x
  2. Step 2: Convert to fraction form
    361,114.46/498,331.80 = 199,966.04/x
  3. Step 3: Cross multiply
    361,114.46x = 498,331.80 × 199,966.04
  4. Step 4: Simplify right side
    361,114.46x = 99,649,436,652.07
  5. Step 5: Solve for x
    x = 99,649,436,652.07/361,114.46
  6. Step 6: Final answer
    x = 275,949.73

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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.