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Finding the Fourth Proportional to 313,950.80, 470,926.20 and 207,662.60

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Solution

The fourth proportional to 313,950.80, 470,926.20 and 207,662.60 is: 311,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,950.80 : 470,926.20 = 207,662.60 : x
  2. Step 2: Convert to fraction form
    313,950.80/470,926.20 = 207,662.60/x
  3. Step 3: Cross multiply
    313,950.80x = 470,926.20 × 207,662.60
  4. Step 4: Simplify right side
    313,950.80x = 97,793,759,100.12
  5. Step 5: Solve for x
    x = 97,793,759,100.12/313,950.80
  6. Step 6: Final answer
    x = 311,493.90

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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.