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Finding the Fourth Proportional to 603,918.57, 833,407.34 and 332,004

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Solution

The fourth proportional to 603,918.57, 833,407.34 and 332,004 is: 458,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,918.57 : 833,407.34 = 332,004 : x
  2. Step 2: Convert to fraction form
    603,918.57/833,407.34 = 332,004/x
  3. Step 3: Cross multiply
    603,918.57x = 833,407.34 × 332,004
  4. Step 4: Simplify right side
    603,918.57x = 276,694,568,849.34
  5. Step 5: Solve for x
    x = 276,694,568,849.34/603,918.57
  6. Step 6: Final answer
    x = 458,165.36

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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.