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Finding the Fourth Proportional to 313,244.80, 469,575.60 and 218,474.80

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Solution

The fourth proportional to 313,244.80, 469,575.60 and 218,474.80 is: 327,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,244.80 : 469,575.60 = 218,474.80 : x
  2. Step 2: Convert to fraction form
    313,244.80/469,575.60 = 218,474.80/x
  3. Step 3: Cross multiply
    313,244.80x = 469,575.60 × 218,474.80
  4. Step 4: Simplify right side
    313,244.80x = 102,590,435,294.88
  5. Step 5: Solve for x
    x = 102,590,435,294.88/313,244.80
  6. Step 6: Final answer
    x = 327,508.82

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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.