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Finding the Fourth Proportional to 281,152.80, 421,826.40 and 271,432.80

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Solution

The fourth proportional to 281,152.80, 421,826.40 and 271,432.80 is: 407,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,152.80 : 421,826.40 = 271,432.80 : x
  2. Step 2: Convert to fraction form
    281,152.80/421,826.40 = 271,432.80/x
  3. Step 3: Cross multiply
    281,152.80x = 421,826.40 × 271,432.80
  4. Step 4: Simplify right side
    281,152.80x = 114,497,520,865.92
  5. Step 5: Solve for x
    x = 114,497,520,865.92/281,152.80
  6. Step 6: Final answer
    x = 407,243.04

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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.