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Finding the Fourth Proportional to 304,723.92, 420,568.56 and 182,208

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Solution

The fourth proportional to 304,723.92, 420,568.56 and 182,208 is: 251,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,723.92 : 420,568.56 = 182,208 : x
  2. Step 2: Convert to fraction form
    304,723.92/420,568.56 = 182,208/x
  3. Step 3: Cross multiply
    304,723.92x = 420,568.56 × 182,208
  4. Step 4: Simplify right side
    304,723.92x = 76,630,956,180.48
  5. Step 5: Solve for x
    x = 76,630,956,180.48/304,723.92
  6. Step 6: Final answer
    x = 251,476.67

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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.