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Finding the Fourth Proportional to 477,941, 659,481.38 and 273,954.36

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Solution

The fourth proportional to 477,941, 659,481.38 and 273,954.36 is: 378,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,941 : 659,481.38 = 273,954.36 : x
  2. Step 2: Convert to fraction form
    477,941/659,481.38 = 273,954.36/x
  3. Step 3: Cross multiply
    477,941x = 659,481.38 × 273,954.36
  4. Step 4: Simplify right side
    477,941x = 180,667,799,389.82
  5. Step 5: Solve for x
    x = 180,667,799,389.82/477,941
  6. Step 6: Final answer
    x = 378,012.77

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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.