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Finding the Fourth Proportional to 298,499.40, 447,749.10 and 281,392.20

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Solution

The fourth proportional to 298,499.40, 447,749.10 and 281,392.20 is: 422,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,499.40 : 447,749.10 = 281,392.20 : x
  2. Step 2: Convert to fraction form
    298,499.40/447,749.10 = 281,392.20/x
  3. Step 3: Cross multiply
    298,499.40x = 447,749.10 × 281,392.20
  4. Step 4: Simplify right side
    298,499.40x = 125,993,104,297.02
  5. Step 5: Solve for x
    x = 125,993,104,297.02/298,499.40
  6. Step 6: Final answer
    x = 422,088.30

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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.