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Finding the Fourth Proportional to 511,273.56, 766,912.32 and 156,286.20

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Solution

The fourth proportional to 511,273.56, 766,912.32 and 156,286.20 is: 234,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,273.56 : 766,912.32 = 156,286.20 : x
  2. Step 2: Convert to fraction form
    511,273.56/766,912.32 = 156,286.20/x
  3. Step 3: Cross multiply
    511,273.56x = 766,912.32 × 156,286.20
  4. Step 4: Simplify right side
    511,273.56x = 119,857,812,225.98
  5. Step 5: Solve for x
    x = 119,857,812,225.98/511,273.56
  6. Step 6: Final answer
    x = 234,429.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.