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Finding the Fourth Proportional to 471,243.32, 706,597.22 and 321,664.67

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Solution

The fourth proportional to 471,243.32, 706,597.22 and 321,664.67 is: 482,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,243.32 : 706,597.22 = 321,664.67 : x
  2. Step 2: Convert to fraction form
    471,243.32/706,597.22 = 321,664.67/x
  3. Step 3: Cross multiply
    471,243.32x = 706,597.22 × 321,664.67
  4. Step 4: Simplify right side
    471,243.32x = 227,287,361,515.13
  5. Step 5: Solve for x
    x = 227,287,361,515.13/471,243.32
  6. Step 6: Final answer
    x = 482,314.24

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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.