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Finding the Fourth Proportional to 313,822.80, 470,442.60 and 219,052.80

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Solution

The fourth proportional to 313,822.80, 470,442.60 and 219,052.80 is: 328,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,822.80 : 470,442.60 = 219,052.80 : x
  2. Step 2: Convert to fraction form
    313,822.80/470,442.60 = 219,052.80/x
  3. Step 3: Cross multiply
    313,822.80x = 470,442.60 × 219,052.80
  4. Step 4: Simplify right side
    313,822.80x = 103,051,768,769.28
  5. Step 5: Solve for x
    x = 103,051,768,769.28/313,822.80
  6. Step 6: Final answer
    x = 328,375.66

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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.