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Finding the Fourth Proportional to 511,512.56, 766,733.76 and 174,435.20

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Solution

The fourth proportional to 511,512.56, 766,733.76 and 174,435.20 is: 261,470.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,512.56 : 766,733.76 = 174,435.20 : x
  2. Step 2: Convert to fraction form
    511,512.56/766,733.76 = 174,435.20/x
  3. Step 3: Cross multiply
    511,512.56x = 766,733.76 × 174,435.20
  4. Step 4: Simplify right side
    511,512.56x = 133,745,356,772.35
  5. Step 5: Solve for x
    x = 133,745,356,772.35/511,512.56
  6. Step 6: Final answer
    x = 261,470.33

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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.