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Finding the Fourth Proportional to 324,022.78, 486,034.17 and 102,389.50

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Solution

The fourth proportional to 324,022.78, 486,034.17 and 102,389.50 is: 153,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,022.78 : 486,034.17 = 102,389.50 : x
  2. Step 2: Convert to fraction form
    324,022.78/486,034.17 = 102,389.50/x
  3. Step 3: Cross multiply
    324,022.78x = 486,034.17 × 102,389.50
  4. Step 4: Simplify right side
    324,022.78x = 49,764,795,649.22
  5. Step 5: Solve for x
    x = 49,764,795,649.22/324,022.78
  6. Step 6: Final answer
    x = 153,584.25

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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.