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Finding the Fourth Proportional to 603,980.50, 833,471.86 and 332,046.42

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Solution

The fourth proportional to 603,980.50, 833,471.86 and 332,046.42 is: 458,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,980.50 : 833,471.86 = 332,046.42 : x
  2. Step 2: Convert to fraction form
    603,980.50/833,471.86 = 332,046.42/x
  3. Step 3: Cross multiply
    603,980.50x = 833,471.86 × 332,046.42
  4. Step 4: Simplify right side
    603,980.50x = 276,751,347,283.74
  5. Step 5: Solve for x
    x = 276,751,347,283.74/603,980.50
  6. Step 6: Final answer
    x = 458,212.39

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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.