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Finding the Fourth Proportional to 413,218.56, 570,194.56 and 231,905.92

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Solution

The fourth proportional to 413,218.56, 570,194.56 and 231,905.92 is: 320,003.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,218.56 : 570,194.56 = 231,905.92 : x
  2. Step 2: Convert to fraction form
    413,218.56/570,194.56 = 231,905.92/x
  3. Step 3: Cross multiply
    413,218.56x = 570,194.56 × 231,905.92
  4. Step 4: Simplify right side
    413,218.56x = 132,231,494,015.80
  5. Step 5: Solve for x
    x = 132,231,494,015.80/413,218.56
  6. Step 6: Final answer
    x = 320,003.76

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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.