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Finding the Fourth Proportional to 454,833.40, 682,250.10 and 313,115.80

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Solution

The fourth proportional to 454,833.40, 682,250.10 and 313,115.80 is: 469,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,833.40 : 682,250.10 = 313,115.80 : x
  2. Step 2: Convert to fraction form
    454,833.40/682,250.10 = 313,115.80/x
  3. Step 3: Cross multiply
    454,833.40x = 682,250.10 × 313,115.80
  4. Step 4: Simplify right side
    454,833.40x = 213,623,285,861.58
  5. Step 5: Solve for x
    x = 213,623,285,861.58/454,833.40
  6. Step 6: Final answer
    x = 469,673.70

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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.