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Finding the Fourth Proportional to 228,438.24, 315,245.16 and 127,836.24

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Solution

The fourth proportional to 228,438.24, 315,245.16 and 127,836.24 is: 176,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,438.24 : 315,245.16 = 127,836.24 : x
  2. Step 2: Convert to fraction form
    228,438.24/315,245.16 = 127,836.24/x
  3. Step 3: Cross multiply
    228,438.24x = 315,245.16 × 127,836.24
  4. Step 4: Simplify right side
    228,438.24x = 40,299,755,932.60
  5. Step 5: Solve for x
    x = 40,299,755,932.60/228,438.24
  6. Step 6: Final answer
    x = 176,414.23

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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.