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Finding the Fourth Proportional to 313,137.92, 469,791.57 and 223,294.10

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Solution

The fourth proportional to 313,137.92, 469,791.57 and 223,294.10 is: 335,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,137.92 : 469,791.57 = 223,294.10 : x
  2. Step 2: Convert to fraction form
    313,137.92/469,791.57 = 223,294.10/x
  3. Step 3: Cross multiply
    313,137.92x = 469,791.57 × 223,294.10
  4. Step 4: Simplify right side
    313,137.92x = 104,901,685,810.74
  5. Step 5: Solve for x
    x = 104,901,685,810.74/313,137.92
  6. Step 6: Final answer
    x = 335,001.54

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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.