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Finding the Fourth Proportional to 511,064.72, 766,713.72 and 156,129.20

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Solution

The fourth proportional to 511,064.72, 766,713.72 and 156,129.20 is: 234,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,064.72 : 766,713.72 = 156,129.20 : x
  2. Step 2: Convert to fraction form
    511,064.72/766,713.72 = 156,129.20/x
  3. Step 3: Cross multiply
    511,064.72x = 766,713.72 × 156,129.20
  4. Step 4: Simplify right side
    511,064.72x = 119,706,399,732.62
  5. Step 5: Solve for x
    x = 119,706,399,732.62/511,064.72
  6. Step 6: Final answer
    x = 234,229.43

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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.