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Finding the Fourth Proportional to 383,809.21, 575,467.46 and 159,324.59

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Solution

The fourth proportional to 383,809.21, 575,467.46 and 159,324.59 is: 238,884.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,809.21 : 575,467.46 = 159,324.59 : x
  2. Step 2: Convert to fraction form
    383,809.21/575,467.46 = 159,324.59/x
  3. Step 3: Cross multiply
    383,809.21x = 575,467.46 × 159,324.59
  4. Step 4: Simplify right side
    383,809.21x = 91,686,117,764.89
  5. Step 5: Solve for x
    x = 91,686,117,764.89/383,809.21
  6. Step 6: Final answer
    x = 238,884.62

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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.