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Finding the Fourth Proportional to 455,200.80, 682,801.20 and 313,483.20

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Solution

The fourth proportional to 455,200.80, 682,801.20 and 313,483.20 is: 470,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,200.80 : 682,801.20 = 313,483.20 : x
  2. Step 2: Convert to fraction form
    455,200.80/682,801.20 = 313,483.20/x
  3. Step 3: Cross multiply
    455,200.80x = 682,801.20 × 313,483.20
  4. Step 4: Simplify right side
    455,200.80x = 214,046,705,139.84
  5. Step 5: Solve for x
    x = 214,046,705,139.84/455,200.80
  6. Step 6: Final answer
    x = 470,224.80

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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.