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Finding the Fourth Proportional to 362,190.27, 499,824.50 and 226,303.01

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Solution

The fourth proportional to 362,190.27, 499,824.50 and 226,303.01 is: 312,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,190.27 : 499,824.50 = 226,303.01 : x
  2. Step 2: Convert to fraction form
    362,190.27/499,824.50 = 226,303.01/x
  3. Step 3: Cross multiply
    362,190.27x = 499,824.50 × 226,303.01
  4. Step 4: Simplify right side
    362,190.27x = 113,111,790,513.44
  5. Step 5: Solve for x
    x = 113,111,790,513.44/362,190.27
  6. Step 6: Final answer
    x = 312,299.37

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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.