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Finding the Fourth Proportional to 281,494.20, 421,463.70 and 219,286.20

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Solution

The fourth proportional to 281,494.20, 421,463.70 and 219,286.20 is: 328,323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,494.20 : 421,463.70 = 219,286.20 : x
  2. Step 2: Convert to fraction form
    281,494.20/421,463.70 = 219,286.20/x
  3. Step 3: Cross multiply
    281,494.20x = 421,463.70 × 219,286.20
  4. Step 4: Simplify right side
    281,494.20x = 92,421,173,210.94
  5. Step 5: Solve for x
    x = 92,421,173,210.94/281,494.20
  6. Step 6: Final answer
    x = 328,323.54

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1.5x scale

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.