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Finding the Fourth Proportional to 354,757.70, 490,098.77 and 232,540.17

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Solution

The fourth proportional to 354,757.70, 490,098.77 and 232,540.17 is: 321,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,757.70 : 490,098.77 = 232,540.17 : x
  2. Step 2: Convert to fraction form
    354,757.70/490,098.77 = 232,540.17/x
  3. Step 3: Cross multiply
    354,757.70x = 490,098.77 × 232,540.17
  4. Step 4: Simplify right side
    354,757.70x = 113,967,650,129.89
  5. Step 5: Solve for x
    x = 113,967,650,129.89/354,757.70
  6. Step 6: Final answer
    x = 321,254.91

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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.