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Finding the Fourth Proportional to 362,288.83, 499,974.20 and 201,143.88

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Solution

The fourth proportional to 362,288.83, 499,974.20 and 201,143.88 is: 277,587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,288.83 : 499,974.20 = 201,143.88 : x
  2. Step 2: Convert to fraction form
    362,288.83/499,974.20 = 201,143.88/x
  3. Step 3: Cross multiply
    362,288.83x = 499,974.20 × 201,143.88
  4. Step 4: Simplify right side
    362,288.83x = 100,566,751,076.93
  5. Step 5: Solve for x
    x = 100,566,751,076.93/362,288.83
  6. Step 6: Final answer
    x = 277,587.23

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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.