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Finding the Fourth Proportional to 311,965.56, 430,512.54 and 176,028.34

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Solution

The fourth proportional to 311,965.56, 430,512.54 and 176,028.34 is: 242,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,965.56 : 430,512.54 = 176,028.34 : x
  2. Step 2: Convert to fraction form
    311,965.56/430,512.54 = 176,028.34/x
  3. Step 3: Cross multiply
    311,965.56x = 430,512.54 × 176,028.34
  4. Step 4: Simplify right side
    311,965.56x = 75,782,407,765.38
  5. Step 5: Solve for x
    x = 75,782,407,765.38/311,965.56
  6. Step 6: Final answer
    x = 242,919.15

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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.