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Finding the Fourth Proportional to 322,396.96, 483,284.40 and 164,699.68

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Solution

The fourth proportional to 322,396.96, 483,284.40 and 164,699.68 is: 246,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,396.96 : 483,284.40 = 164,699.68 : x
  2. Step 2: Convert to fraction form
    322,396.96/483,284.40 = 164,699.68/x
  3. Step 3: Cross multiply
    322,396.96x = 483,284.40 × 164,699.68
  4. Step 4: Simplify right side
    322,396.96x = 79,596,786,028.99
  5. Step 5: Solve for x
    x = 79,596,786,028.99/322,396.96
  6. Step 6: Final answer
    x = 246,890.62

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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.