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Finding the Fourth Proportional to 379,608.54, 523,834.81 and 218,437.57

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Solution

The fourth proportional to 379,608.54, 523,834.81 and 218,437.57 is: 301,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,608.54 : 523,834.81 = 218,437.57 : x
  2. Step 2: Convert to fraction form
    379,608.54/523,834.81 = 218,437.57/x
  3. Step 3: Cross multiply
    379,608.54x = 523,834.81 × 218,437.57
  4. Step 4: Simplify right side
    379,608.54x = 114,425,202,977.81
  5. Step 5: Solve for x
    x = 114,425,202,977.81/379,608.54
  6. Step 6: Final answer
    x = 301,429.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.