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Finding the Fourth Proportional to 471,244.56, 706,599.04 and 321,665.91

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Solution

The fourth proportional to 471,244.56, 706,599.04 and 321,665.91 is: 482,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,244.56 : 706,599.04 = 321,665.91 : x
  2. Step 2: Convert to fraction form
    471,244.56/706,599.04 = 321,665.91/x
  3. Step 3: Cross multiply
    471,244.56x = 706,599.04 × 321,665.91
  4. Step 4: Simplify right side
    471,244.56x = 227,288,823,206.73
  5. Step 5: Solve for x
    x = 227,288,823,206.73/471,244.56
  6. Step 6: Final answer
    x = 482,316.07

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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.