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Finding the Fourth Proportional to 273,419.80, 410,129.70 and 262,922.20

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Solution

The fourth proportional to 273,419.80, 410,129.70 and 262,922.20 is: 394,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,419.80 : 410,129.70 = 262,922.20 : x
  2. Step 2: Convert to fraction form
    273,419.80/410,129.70 = 262,922.20/x
  3. Step 3: Cross multiply
    273,419.80x = 410,129.70 × 262,922.20
  4. Step 4: Simplify right side
    273,419.80x = 107,832,203,009.34
  5. Step 5: Solve for x
    x = 107,832,203,009.34/273,419.80
  6. Step 6: Final answer
    x = 394,383.30

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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.