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Finding the Fourth Proportional to 228,286.80, 314,382.60 and 164,523.60

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Solution

The fourth proportional to 228,286.80, 314,382.60 and 164,523.60 is: 226,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,286.80 : 314,382.60 = 164,523.60 : x
  2. Step 2: Convert to fraction form
    228,286.80/314,382.60 = 164,523.60/x
  3. Step 3: Cross multiply
    228,286.80x = 314,382.60 × 164,523.60
  4. Step 4: Simplify right side
    228,286.80x = 51,723,357,129.36
  5. Step 5: Solve for x
    x = 51,723,357,129.36/228,286.80
  6. Step 6: Final answer
    x = 226,571.83

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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.