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Finding the Fourth Proportional to 511,063.60, 766,540.70 and 156,324.90

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Solution

The fourth proportional to 511,063.60, 766,540.70 and 156,324.90 is: 234,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,063.60 : 766,540.70 = 156,324.90 : x
  2. Step 2: Convert to fraction form
    511,063.60/766,540.70 = 156,324.90/x
  3. Step 3: Cross multiply
    511,063.60x = 766,540.70 × 156,324.90
  4. Step 4: Simplify right side
    511,063.60x = 119,829,398,273.43
  5. Step 5: Solve for x
    x = 119,829,398,273.43/511,063.60
  6. Step 6: Final answer
    x = 234,470.62

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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.