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Finding the Fourth Proportional to 361,054.92, 498,259.76 and 199,912.80

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Solution

The fourth proportional to 361,054.92, 498,259.76 and 199,912.80 is: 275,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,054.92 : 498,259.76 = 199,912.80 : x
  2. Step 2: Convert to fraction form
    361,054.92/498,259.76 = 199,912.80/x
  3. Step 3: Cross multiply
    361,054.92x = 498,259.76 × 199,912.80
  4. Step 4: Simplify right side
    361,054.92x = 99,608,503,748.93
  5. Step 5: Solve for x
    x = 99,608,503,748.93/361,054.92
  6. Step 6: Final answer
    x = 275,881.86

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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.