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Finding the Fourth Proportional to 471,086.93, 706,362.71 and 321,508.43

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Solution

The fourth proportional to 471,086.93, 706,362.71 and 321,508.43 is: 482,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,086.93 : 706,362.71 = 321,508.43 : x
  2. Step 2: Convert to fraction form
    471,086.93/706,362.71 = 321,508.43/x
  3. Step 3: Cross multiply
    471,086.93x = 706,362.71 × 321,508.43
  4. Step 4: Simplify right side
    471,086.93x = 227,101,565,902.65
  5. Step 5: Solve for x
    x = 227,101,565,902.65/471,086.93
  6. Step 6: Final answer
    x = 482,079.95

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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.