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Finding the Fourth Proportional to 281,093.20, 421,870.20 and 271,877.20

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Solution

The fourth proportional to 281,093.20, 421,870.20 and 271,877.20 is: 408,038.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,093.20 : 421,870.20 = 271,877.20 : x
  2. Step 2: Convert to fraction form
    281,093.20/421,870.20 = 271,877.20/x
  3. Step 3: Cross multiply
    281,093.20x = 421,870.20 × 271,877.20
  4. Step 4: Simplify right side
    281,093.20x = 114,696,888,739.44
  5. Step 5: Solve for x
    x = 114,696,888,739.44/281,093.20
  6. Step 6: Final answer
    x = 408,038.65

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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.