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Finding the Fourth Proportional to 298,049.40, 447,074.10 and 281,719.80

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Solution

The fourth proportional to 298,049.40, 447,074.10 and 281,719.80 is: 422,579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,049.40 : 447,074.10 = 281,719.80 : x
  2. Step 2: Convert to fraction form
    298,049.40/447,074.10 = 281,719.80/x
  3. Step 3: Cross multiply
    298,049.40x = 447,074.10 × 281,719.80
  4. Step 4: Simplify right side
    298,049.40x = 125,949,626,037.18
  5. Step 5: Solve for x
    x = 125,949,626,037.18/298,049.40
  6. Step 6: Final answer
    x = 422,579.70

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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.