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Finding the Fourth Proportional to 362,101.14, 499,698.90 and 200,958.12

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Solution

The fourth proportional to 362,101.14, 499,698.90 and 200,958.12 is: 277,321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,101.14 : 499,698.90 = 200,958.12 : x
  2. Step 2: Convert to fraction form
    362,101.14/499,698.90 = 200,958.12/x
  3. Step 3: Cross multiply
    362,101.14x = 499,698.90 × 200,958.12
  4. Step 4: Simplify right side
    362,101.14x = 100,418,551,510.07
  5. Step 5: Solve for x
    x = 100,418,551,510.07/362,101.14
  6. Step 6: Final answer
    x = 277,321.83

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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.