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Finding the Fourth Proportional to 471,083.43, 706,357.46 and 321,504.93

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Solution

The fourth proportional to 471,083.43, 706,357.46 and 321,504.93 is: 482,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,083.43 : 706,357.46 = 321,504.93 : x
  2. Step 2: Convert to fraction form
    471,083.43/706,357.46 = 321,504.93/x
  3. Step 3: Cross multiply
    471,083.43x = 706,357.46 × 321,504.93
  4. Step 4: Simplify right side
    471,083.43x = 227,097,406,536.04
  5. Step 5: Solve for x
    x = 227,097,406,536.04/471,083.43
  6. Step 6: Final answer
    x = 482,074.71

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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.