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Finding the Fourth Proportional to 451,696.89, 677,685.66 and 271,980.16

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Solution

The fourth proportional to 451,696.89, 677,685.66 and 271,980.16 is: 408,054.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,696.89 : 677,685.66 = 271,980.16 : x
  2. Step 2: Convert to fraction form
    451,696.89/677,685.66 = 271,980.16/x
  3. Step 3: Cross multiply
    451,696.89x = 677,685.66 × 271,980.16
  4. Step 4: Simplify right side
    451,696.89x = 184,317,054,236.51
  5. Step 5: Solve for x
    x = 184,317,054,236.51/451,696.89
  6. Step 6: Final answer
    x = 408,054.73

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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.