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Finding the Fourth Proportional to 455,216.20, 682,824.30 and 313,498.60

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Solution

The fourth proportional to 455,216.20, 682,824.30 and 313,498.60 is: 470,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,216.20 : 682,824.30 = 313,498.60 : x
  2. Step 2: Convert to fraction form
    455,216.20/682,824.30 = 313,498.60/x
  3. Step 3: Cross multiply
    455,216.20x = 682,824.30 × 313,498.60
  4. Step 4: Simplify right side
    455,216.20x = 214,064,462,095.98
  5. Step 5: Solve for x
    x = 214,064,462,095.98/455,216.20
  6. Step 6: Final answer
    x = 470,247.90

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Similar ratio
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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.