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Finding the Fourth Proportional to 394,007.96, 590,064.96 and 225,016.52

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Solution

The fourth proportional to 394,007.96, 590,064.96 and 225,016.52 is: 336,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,007.96 : 590,064.96 = 225,016.52 : x
  2. Step 2: Convert to fraction form
    394,007.96/590,064.96 = 225,016.52/x
  3. Step 3: Cross multiply
    394,007.96x = 590,064.96 × 225,016.52
  4. Step 4: Simplify right side
    394,007.96x = 132,774,363,873.14
  5. Step 5: Solve for x
    x = 132,774,363,873.14/394,007.96
  6. Step 6: Final answer
    x = 336,983.96

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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.