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Finding the Fourth Proportional to 306,104.76, 458,305.02 and 230,997.24

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Solution

The fourth proportional to 306,104.76, 458,305.02 and 230,997.24 is: 345,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,104.76 : 458,305.02 = 230,997.24 : x
  2. Step 2: Convert to fraction form
    306,104.76/458,305.02 = 230,997.24/x
  3. Step 3: Cross multiply
    306,104.76x = 458,305.02 × 230,997.24
  4. Step 4: Simplify right side
    306,104.76x = 105,867,194,698.15
  5. Step 5: Solve for x
    x = 105,867,194,698.15/306,104.76
  6. Step 6: Final answer
    x = 345,852.82

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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.