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Finding the Fourth Proportional to 471,638.60, 707,013.18 and 234,757.34

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Solution

The fourth proportional to 471,638.60, 707,013.18 and 234,757.34 is: 351,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,638.60 : 707,013.18 = 234,757.34 : x
  2. Step 2: Convert to fraction form
    471,638.60/707,013.18 = 234,757.34/x
  3. Step 3: Cross multiply
    471,638.60x = 707,013.18 × 234,757.34
  4. Step 4: Simplify right side
    471,638.60x = 165,976,533,481.74
  5. Step 5: Solve for x
    x = 165,976,533,481.74/471,638.60
  6. Step 6: Final answer
    x = 351,914.65

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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.