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Finding the Fourth Proportional to 471,604.60, 706,962.18 and 234,723.34

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Solution

The fourth proportional to 471,604.60, 706,962.18 and 234,723.34 is: 351,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,604.60 : 706,962.18 = 234,723.34 : x
  2. Step 2: Convert to fraction form
    471,604.60/706,962.18 = 234,723.34/x
  3. Step 3: Cross multiply
    471,604.60x = 706,962.18 × 234,723.34
  4. Step 4: Simplify right side
    471,604.60x = 165,940,524,143.28
  5. Step 5: Solve for x
    x = 165,940,524,143.28/471,604.60
  6. Step 6: Final answer
    x = 351,863.67

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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.