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Finding the Fourth Proportional to 408,841.80, 613,262.70 and 320,171.10

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Solution

The fourth proportional to 408,841.80, 613,262.70 and 320,171.10 is: 480,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,841.80 : 613,262.70 = 320,171.10 : x
  2. Step 2: Convert to fraction form
    408,841.80/613,262.70 = 320,171.10/x
  3. Step 3: Cross multiply
    408,841.80x = 613,262.70 × 320,171.10
  4. Step 4: Simplify right side
    408,841.80x = 196,348,993,247.97
  5. Step 5: Solve for x
    x = 196,348,993,247.97/408,841.80
  6. Step 6: Final answer
    x = 480,256.65

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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.