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Finding the Fourth Proportional to 451,767.89, 677,314.74 and 271,811.14

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Solution

The fourth proportional to 451,767.89, 677,314.74 and 271,811.14 is: 407,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,767.89 : 677,314.74 = 271,811.14 : x
  2. Step 2: Convert to fraction form
    451,767.89/677,314.74 = 271,811.14/x
  3. Step 3: Cross multiply
    451,767.89x = 677,314.74 × 271,811.14
  4. Step 4: Simplify right side
    451,767.89x = 184,101,691,618.20
  5. Step 5: Solve for x
    x = 184,101,691,618.20/451,767.89
  6. Step 6: Final answer
    x = 407,513.89

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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.