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Finding the Fourth Proportional to 463,114.80, 694,672.20 and 313,426.80

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Solution

The fourth proportional to 463,114.80, 694,672.20 and 313,426.80 is: 470,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,114.80 : 694,672.20 = 313,426.80 : x
  2. Step 2: Convert to fraction form
    463,114.80/694,672.20 = 313,426.80/x
  3. Step 3: Cross multiply
    463,114.80x = 694,672.20 × 313,426.80
  4. Step 4: Simplify right side
    463,114.80x = 217,728,884,694.96
  5. Step 5: Solve for x
    x = 217,728,884,694.96/463,114.80
  6. Step 6: Final answer
    x = 470,140.20

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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.