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Finding the Fourth Proportional to 471,228.64, 706,486.96 and 234,738.61

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Solution

The fourth proportional to 471,228.64, 706,486.96 and 234,738.61 is: 351,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,228.64 : 706,486.96 = 234,738.61 : x
  2. Step 2: Convert to fraction form
    471,228.64/706,486.96 = 234,738.61/x
  3. Step 3: Cross multiply
    471,228.64x = 706,486.96 × 234,738.61
  4. Step 4: Simplify right side
    471,228.64x = 165,839,765,500.73
  5. Step 5: Solve for x
    x = 165,839,765,500.73/471,228.64
  6. Step 6: Final answer
    x = 351,930.58

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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.