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Finding the Fourth Proportional to 451,761.37, 677,305.01 and 271,804.64

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Solution

The fourth proportional to 451,761.37, 677,305.01 and 271,804.64 is: 407,504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,761.37 : 677,305.01 = 271,804.64 : x
  2. Step 2: Convert to fraction form
    451,761.37/677,305.01 = 271,804.64/x
  3. Step 3: Cross multiply
    451,761.37x = 677,305.01 × 271,804.64
  4. Step 4: Simplify right side
    451,761.37x = 184,094,641,706.23
  5. Step 5: Solve for x
    x = 184,094,641,706.23/451,761.37
  6. Step 6: Final answer
    x = 407,504.17

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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.