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Finding the Fourth Proportional to 451,870.92, 676,902.69 and 271,857.06

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Solution

The fourth proportional to 451,870.92, 676,902.69 and 271,857.06 is: 407,241.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870.92 : 676,902.69 = 271,857.06 : x
  2. Step 2: Convert to fraction form
    451,870.92/676,902.69 = 271,857.06/x
  3. Step 3: Cross multiply
    451,870.92x = 676,902.69 × 271,857.06
  4. Step 4: Simplify right side
    451,870.92x = 184,020,775,209.49
  5. Step 5: Solve for x
    x = 184,020,775,209.49/451,870.92
  6. Step 6: Final answer
    x = 407,241.91

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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.