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Finding the Fourth Proportional to 413,215.92, 570,213.92 and 231,910.88

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Solution

The fourth proportional to 413,215.92, 570,213.92 and 231,910.88 is: 320,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,215.92 : 570,213.92 = 231,910.88 : x
  2. Step 2: Convert to fraction form
    413,215.92/570,213.92 = 231,910.88/x
  3. Step 3: Cross multiply
    413,215.92x = 570,213.92 × 231,910.88
  4. Step 4: Simplify right side
    413,215.92x = 132,238,811,975.45
  5. Step 5: Solve for x
    x = 132,238,811,975.45/413,215.92
  6. Step 6: Final answer
    x = 320,023.52

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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.