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Finding the Fourth Proportional to 702,396.48, 969,245.94 and 412,066.56

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Solution

The fourth proportional to 702,396.48, 969,245.94 and 412,066.56 is: 568,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,396.48 : 969,245.94 = 412,066.56 : x
  2. Step 2: Convert to fraction form
    702,396.48/969,245.94 = 412,066.56/x
  3. Step 3: Cross multiply
    702,396.48x = 969,245.94 × 412,066.56
  4. Step 4: Simplify right side
    702,396.48x = 399,393,840,289.77
  5. Step 5: Solve for x
    x = 399,393,840,289.77/702,396.48
  6. Step 6: Final answer
    x = 568,615.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.