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Finding the Fourth Proportional to 361,101.56, 541,331.12 and 171,444.92

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Solution

The fourth proportional to 361,101.56, 541,331.12 and 171,444.92 is: 257,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,101.56 : 541,331.12 = 171,444.92 : x
  2. Step 2: Convert to fraction form
    361,101.56/541,331.12 = 171,444.92/x
  3. Step 3: Cross multiply
    361,101.56x = 541,331.12 × 171,444.92
  4. Step 4: Simplify right side
    361,101.56x = 92,808,467,319.49
  5. Step 5: Solve for x
    x = 92,808,467,319.49/361,101.56
  6. Step 6: Final answer
    x = 257,014.86

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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.