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Finding the Fourth Proportional to 424,906.56, 637,064.60 and 188,120.07

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Solution

The fourth proportional to 424,906.56, 637,064.60 and 188,120.07 is: 282,049.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,906.56 : 637,064.60 = 188,120.07 : x
  2. Step 2: Convert to fraction form
    424,906.56/637,064.60 = 188,120.07/x
  3. Step 3: Cross multiply
    424,906.56x = 637,064.60 × 188,120.07
  4. Step 4: Simplify right side
    424,906.56x = 119,844,636,205.92
  5. Step 5: Solve for x
    x = 119,844,636,205.92/424,906.56
  6. Step 6: Final answer
    x = 282,049.39

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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.